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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR133^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.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 10:16:09 AM UTC 2026

% Result   : Theorem 197.31s 33.46s
% Output   : CNFRefutation 197.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   69
% Syntax   : Number of formulae    : 3463 ( 407 unt;   0 typ;   0 def)
%            Number of atoms       : 33586 (14679 equ;   0 cnn)
%            Maximal formula atoms :    8 (   9 avg)
%            Number of connectives : 58622 (5721   ~;8296   |;  40   &;44502   @)
%                                         (   9 <=>;  54  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  : 8034 (8034   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  199 ( 196 usr;  44 con; 0-6 aty)
%            Number of variables   : 13467 (5946   ^;7503   !;  18   ?;13467   :)

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_lBill_THFTYPE_i,type,
    lBill_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_lEndFn_THFTYPE_IiiI,type,
    lEndFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lInteger_THFTYPE_i,type,
    lInteger_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_lOrganism_THFTYPE_i,type,
    lOrganism_THFTYPE_i: $i ).

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

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

thf(tp_lTemporalRelation_THFTYPE_i,type,
    lTemporalRelation_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_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_parent_THFTYPE_IiioI,type,
    parent_THFTYPE_IiioI: $i > $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

thf(tp_sK108_SV1837,type,
    sK108_SV1837: ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK109_SV1838,type,
    sK109_SV1838: ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK10_SV125,type,
    sK10_SV125: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK110_SV1839,type,
    sK110_SV1839: ( $i > $o ) > ( $i > $o ) > ( $i > $i ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK111_SV1840,type,
    sK111_SV1840: ( $i > $o ) > ( $i > $o ) > ( $i > $i ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK112_SV1841,type,
    sK112_SV1841: ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK113_SV1842,type,
    sK113_SV1842: ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK114_SV1843,type,
    sK114_SV1843: ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK115_SV1844,type,
    sK115_SV1844: ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK116_SV1845,type,
    sK116_SV1845: ( $i > $o ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK117_SV1846,type,
    sK117_SV1846: ( $i > $o ) > ( $i > $i ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK118_SV1847,type,
    sK118_SV1847: ( $i > $o ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK119_SV1848,type,
    sK119_SV1848: ( $i > $o ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK11_SV126,type,
    sK11_SV126: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK120_SV1849,type,
    sK120_SV1849: ( $i > $i > $o ) > ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK121_SV1850,type,
    sK121_SV1850: ( $i > $i > $o ) > ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK122_SV1851,type,
    sK122_SV1851: ( $i > $i > $o ) > ( $i > $i ) > ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK123_SV1852,type,
    sK123_SV1852: ( $i > $i > $o ) > ( $i > $i ) > ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK124_SV1853,type,
    sK124_SV1853: ( $i > $i > $o ) > ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK125_SV1854,type,
    sK125_SV1854: ( $i > $i > $o ) > ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK126_SV1855,type,
    sK126_SV1855: ( $i > $i > $o ) > ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK127_SV1856,type,
    sK127_SV1856: ( $i > $i > $o ) > ( $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK128_SV1857,type,
    sK128_SV1857: ( $i > $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK129_SV1858,type,
    sK129_SV1858: ( $i > $i > $o ) > ( $i > $i ) > ( $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK12_SV127,type,
    sK12_SV127: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK130_SV1859,type,
    sK130_SV1859: ( $i > $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK131_SV1860,type,
    sK131_SV1860: ( $i > $i > $o ) > ( $i > $o ) > ( $i > $i > $o ) > $i ).

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

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

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

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

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

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

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

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

thf(tp_sK13_SV128,type,
    sK13_SV128: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK14_SV129,type,
    sK14_SV129: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK15_SV130,type,
    sK15_SV130: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK16_SV131,type,
    sK16_SV131: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK17_SV132,type,
    sK17_SV132: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK18_SV133,type,
    sK18_SV133: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK19_SV134,type,
    sK19_SV134: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK1_SY60,type,
    sK1_SY60: $i > $i ).

thf(tp_sK20_SV135,type,
    sK20_SV135: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK21_SV136,type,
    sK21_SV136: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK22_SV137,type,
    sK22_SV137: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK23_SV138,type,
    sK23_SV138: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK24_SV139,type,
    sK24_SV139: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK25_SV140,type,
    sK25_SV140: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK26_SV141,type,
    sK26_SV141: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(tp_sK27_SV142,type,
    sK27_SV142: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

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

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

thf(tp_sK2_SV117,type,
    sK2_SV117: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK3_SV118,type,
    sK3_SV118: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK4_SV119,type,
    sK4_SV119: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK5_SV120,type,
    sK5_SV120: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK6_SV121,type,
    sK6_SV121: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK7_SV122,type,
    sK7_SV122: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK8_SV123,type,
    sK8_SV123: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

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

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

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

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

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

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

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

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

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

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

thf(tp_sK9_SV124,type,
    sK9_SV124: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

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_IIioIIioIoI,type,
    subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).

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

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

thf(1,axiom,
    instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_078) ).

thf(2,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_077) ).

thf(3,axiom,
    instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_076) ).

thf(4,axiom,
    domain_THFTYPE_IIiiIiioI @ lBeginFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_075) ).

thf(5,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_074) ).

thf(6,axiom,
    instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_073) ).

thf(7,axiom,
    domain_THFTYPE_IIiiIiioI @ lEndFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_072) ).

thf(8,axiom,
    instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_071) ).

thf(9,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_070) ).

thf(10,axiom,
    domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n2_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_069) ).

thf(11,axiom,
    instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTotalValuedRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_068) ).

thf(12,axiom,
    instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_067) ).

thf(13,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_066) ).

thf(14,axiom,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_065) ).

thf(15,axiom,
    domain_THFTYPE_IiiioI @ patient_THFTYPE_i @ n1_THFTYPE_i @ lProcess_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_064) ).

thf(16,axiom,
    instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_063) ).

thf(17,axiom,
    instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_062) ).

thf(18,axiom,
    instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_061) ).

thf(19,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_060) ).

thf(20,axiom,
    instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_059) ).

thf(21,axiom,
    instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_058) ).

thf(22,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_057) ).

thf(23,axiom,
    instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_056) ).

thf(24,axiom,
    domain_THFTYPE_IiiioI @ agent_THFTYPE_i @ n1_THFTYPE_i @ lProcess_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_055) ).

thf(25,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTotalValuedRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_054) ).

thf(26,axiom,
    domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n2_THFTYPE_i @ lProcess_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_053) ).

thf(27,axiom,
    domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_052) ).

thf(28,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_051) ).

thf(29,axiom,
    domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_050) ).

thf(30,axiom,
    instance_THFTYPE_IIiioIioI @ subProcess_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_049) ).

thf(31,axiom,
    domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_048) ).

thf(32,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_047) ).

thf(33,axiom,
    domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n1_THFTYPE_i @ lProcess_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_046) ).

thf(34,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_045) ).

thf(35,axiom,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_044) ).

thf(36,axiom,
    instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_043) ).

thf(37,axiom,
    domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_042) ).

thf(38,axiom,
    instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_041) ).

thf(39,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_040) ).

thf(40,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_039) ).

thf(41,axiom,
    ! [NUMBER: $i,PRED1: $i,CLASS1: $i,PRED2: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ PRED1 @ PRED2 )
        & ( domain_THFTYPE_IiiioI @ PRED2 @ NUMBER @ CLASS1 ) )
     => ( domain_THFTYPE_IiiioI @ PRED1 @ NUMBER @ CLASS1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_038) ).

thf(42,axiom,
    ! [SITUATION: $o,TIME2: $i,TIME1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ TIME1 @ SITUATION )
        & ( temporalPart_THFTYPE_IiioI @ TIME2 @ TIME1 ) )
     => ( holdsDuring_THFTYPE_IiooI @ TIME2 @ SITUATION ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_037) ).

thf(43,axiom,
    ! [INTERVAL1: $i,INTERVAL2: $i] :
      ( ( meetsTemporally_THFTYPE_IiioI @ INTERVAL1 @ INTERVAL2 )
    <=> ( ( lEndFn_THFTYPE_IiiI @ INTERVAL1 )
        = ( lBeginFn_THFTYPE_IiiI @ INTERVAL2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_036) ).

thf(45,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_034) ).

thf(46,axiom,
    ! [OBJ: $i,PROCESS: $i] :
      ( ( located_THFTYPE_IiioI @ PROCESS @ OBJ )
     => ! [SUB: $i] :
          ( ( subProcess_THFTYPE_IiioI @ SUB @ PROCESS )
         => ( located_THFTYPE_IiioI @ SUB @ OBJ ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_033) ).

thf(47,axiom,
    range_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_032) ).

thf(48,axiom,
    ! [TIME: $i,SITUATION: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
     => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_031) ).

thf(49,axiom,
    ! [ORGANISM: $i] :
      ( ( instance_THFTYPE_IiioI @ ORGANISM @ lOrganism_THFTYPE_i )
     => ? [PARENT: $i] : ( parent_THFTYPE_IiioI @ ORGANISM @ PARENT ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_030) ).

thf(51,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_028) ).

thf(53,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_026) ).

thf(55,axiom,
    ! [NUMBER: $i,CLASS1: $i,REL: $i,CLASS2: $i] :
      ( ( ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS1 )
        & ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS2 ) )
     => ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
        | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_024) ).

thf(57,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_022) ).

thf(59,axiom,
    ! [REL2: $i,CLASS1: $i,REL1: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ REL1 @ REL2 )
        & ( range_THFTYPE_IiioI @ REL2 @ CLASS1 ) )
     => ( range_THFTYPE_IiioI @ REL1 @ CLASS1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_020) ).

thf(60,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_019) ).

thf(61,axiom,
    ! [INTERVAL1: $i,INTERVAL2: $i] :
      ( ( ( ( lBeginFn_THFTYPE_IiiI @ INTERVAL1 )
          = ( lBeginFn_THFTYPE_IiiI @ INTERVAL2 ) )
        & ( ( lEndFn_THFTYPE_IiiI @ INTERVAL1 )
          = ( lEndFn_THFTYPE_IiiI @ INTERVAL2 ) ) )
     => ( INTERVAL1 = INTERVAL2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_018) ).

thf(62,axiom,
    ! [CLASS: $i,CHILD: $i,PARENT: $i] :
      ( ( ( parent_THFTYPE_IiioI @ CHILD @ PARENT )
        & ( subclass_THFTYPE_IiioI @ CLASS @ lOrganism_THFTYPE_i )
        & ( instance_THFTYPE_IiioI @ PARENT @ CLASS ) )
     => ( instance_THFTYPE_IiioI @ CHILD @ CLASS ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_017) ).

thf(63,axiom,
    ! [SUBPROC: $i,PROC: $i] :
      ( ( subProcess_THFTYPE_IiioI @ SUBPROC @ PROC )
     => ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ SUBPROC ) @ ( lWhenFn_THFTYPE_IiiI @ PROC ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_016) ).

thf(65,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_014) ).

thf(66,axiom,
    ! [CLASS1: $i,REL: $i,CLASS2: $i] :
      ( ( ( range_THFTYPE_IiioI @ REL @ CLASS1 )
        & ( range_THFTYPE_IiioI @ REL @ CLASS2 ) )
     => ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
        | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_013) ).

thf(67,axiom,
    ! [THING2: $i,THING1: $i] :
      ( ( THING1 = THING2 )
     => ! [CLASS: $i] :
          ( ( instance_THFTYPE_IiioI @ THING1 @ CLASS )
        <=> ( instance_THFTYPE_IiioI @ THING2 @ CLASS ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_012) ).

thf(68,axiom,
    ! [OBJ1: $i,OBJ2: $i] :
      ( ( located_THFTYPE_IiioI @ OBJ1 @ OBJ2 )
     => ! [SUB: $i] :
          ( ( part_THFTYPE_IiioI @ SUB @ OBJ1 )
         => ( located_THFTYPE_IiioI @ SUB @ OBJ2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_011) ).

thf(70,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_009) ).

thf(71,axiom,
    ! [REL2: $i > $o,ROW: $i,REL1: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI @ REL1 @ REL2 )
        & ( REL1 @ ROW ) )
     => ( REL2 @ ROW ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_008) ).

thf(72,axiom,
    ! [CLASS1: $i,CLASS2: $i] :
      ( ( CLASS1 = CLASS2 )
     => ! [THING: $i] :
          ( ( instance_THFTYPE_IiioI @ THING @ CLASS1 )
        <=> ( instance_THFTYPE_IiioI @ THING @ CLASS2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007) ).

thf(74,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).

thf(76,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).

thf(77,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( subclass_THFTYPE_IiioI @ X @ Y )
        & ( instance_THFTYPE_IiioI @ Z @ X ) )
     => ( instance_THFTYPE_IiioI @ Z @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).

thf(79,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).

thf(80,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 != Q ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(81,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 != Q ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[80]) ).

thf(82,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 != Q ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[81]) ).

thf(83,plain,
    ( ( instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(84,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(85,plain,
    ( ( instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(86,plain,
    ( ( domain_THFTYPE_IIiiIiioI @ lBeginFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(87,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(88,plain,
    ( ( instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(89,plain,
    ( ( domain_THFTYPE_IIiiIiioI @ lEndFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(90,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(91,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(92,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n2_THFTYPE_i @ lTimeInterval_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(93,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTotalValuedRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(94,plain,
    ( ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(95,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(96,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(97,plain,
    ( ( domain_THFTYPE_IiiioI @ patient_THFTYPE_i @ n1_THFTYPE_i @ lProcess_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(98,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(99,plain,
    ( ( instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(100,plain,
    ( ( instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(101,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(102,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(103,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(104,plain,
    ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(105,plain,
    ( ( instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(106,plain,
    ( ( domain_THFTYPE_IiiioI @ agent_THFTYPE_i @ n1_THFTYPE_i @ lProcess_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(107,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTotalValuedRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(108,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n2_THFTYPE_i @ lProcess_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(109,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(110,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(111,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(112,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subProcess_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(113,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(114,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(115,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n1_THFTYPE_i @ lProcess_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(116,plain,
    ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(117,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(118,plain,
    ( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(119,plain,
    ( ( domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(120,plain,
    ( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(121,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(122,plain,
    ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(123,plain,
    ( ( ! [NUMBER: $i,PRED1: $i,CLASS1: $i,PRED2: $i] :
          ( ( ( subrelation_THFTYPE_IiioI @ PRED1 @ PRED2 )
            & ( domain_THFTYPE_IiiioI @ PRED2 @ NUMBER @ CLASS1 ) )
         => ( domain_THFTYPE_IiiioI @ PRED1 @ NUMBER @ CLASS1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(124,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)],[42]) ).

thf(125,plain,
    ( ( ! [INTERVAL1: $i,INTERVAL2: $i] :
          ( ( meetsTemporally_THFTYPE_IiioI @ INTERVAL1 @ INTERVAL2 )
        <=> ( ( lEndFn_THFTYPE_IiiI @ INTERVAL1 )
            = ( lBeginFn_THFTYPE_IiiI @ INTERVAL2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(127,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)],[45]) ).

thf(128,plain,
    ( ( ! [OBJ: $i,PROCESS: $i] :
          ( ( located_THFTYPE_IiioI @ PROCESS @ OBJ )
         => ! [SUB: $i] :
              ( ( subProcess_THFTYPE_IiioI @ SUB @ PROCESS )
             => ( located_THFTYPE_IiioI @ SUB @ OBJ ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(129,plain,
    ( ( range_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTimeInterval_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(130,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
         => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(131,plain,
    ( ( ! [ORGANISM: $i] :
          ( ( instance_THFTYPE_IiioI @ ORGANISM @ lOrganism_THFTYPE_i )
         => ? [PARENT: $i] : ( parent_THFTYPE_IiioI @ ORGANISM @ PARENT ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(133,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(135,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(137,plain,
    ( ( ! [NUMBER: $i,CLASS1: $i,REL: $i,CLASS2: $i] :
          ( ( ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS1 )
            & ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS2 ) )
         => ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
            | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(139,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)],[57]) ).

thf(141,plain,
    ( ( ! [REL2: $i,CLASS1: $i,REL1: $i] :
          ( ( ( subrelation_THFTYPE_IiioI @ REL1 @ REL2 )
            & ( range_THFTYPE_IiioI @ REL2 @ CLASS1 ) )
         => ( range_THFTYPE_IiioI @ REL1 @ CLASS1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(142,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(143,plain,
    ( ( ! [INTERVAL1: $i,INTERVAL2: $i] :
          ( ( ( ( lBeginFn_THFTYPE_IiiI @ INTERVAL1 )
              = ( lBeginFn_THFTYPE_IiiI @ INTERVAL2 ) )
            & ( ( lEndFn_THFTYPE_IiiI @ INTERVAL1 )
              = ( lEndFn_THFTYPE_IiiI @ INTERVAL2 ) ) )
         => ( INTERVAL1 = INTERVAL2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(144,plain,
    ( ( ! [CLASS: $i,CHILD: $i,PARENT: $i] :
          ( ( ( parent_THFTYPE_IiioI @ CHILD @ PARENT )
            & ( subclass_THFTYPE_IiioI @ CLASS @ lOrganism_THFTYPE_i )
            & ( instance_THFTYPE_IiioI @ PARENT @ CLASS ) )
         => ( instance_THFTYPE_IiioI @ CHILD @ CLASS ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(145,plain,
    ( ( ! [SUBPROC: $i,PROC: $i] :
          ( ( subProcess_THFTYPE_IiioI @ SUBPROC @ PROC )
         => ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ SUBPROC ) @ ( lWhenFn_THFTYPE_IiiI @ PROC ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(147,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)],[65]) ).

thf(148,plain,
    ( ( ! [CLASS1: $i,REL: $i,CLASS2: $i] :
          ( ( ( range_THFTYPE_IiioI @ REL @ CLASS1 )
            & ( range_THFTYPE_IiioI @ REL @ CLASS2 ) )
         => ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
            | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(149,plain,
    ( ( ! [THING2: $i,THING1: $i] :
          ( ( THING1 = THING2 )
         => ! [CLASS: $i] :
              ( ( instance_THFTYPE_IiioI @ THING1 @ CLASS )
            <=> ( instance_THFTYPE_IiioI @ THING2 @ CLASS ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[67]) ).

thf(150,plain,
    ( ( ! [OBJ1: $i,OBJ2: $i] :
          ( ( located_THFTYPE_IiioI @ OBJ1 @ OBJ2 )
         => ! [SUB: $i] :
              ( ( part_THFTYPE_IiioI @ SUB @ OBJ1 )
             => ( located_THFTYPE_IiioI @ SUB @ OBJ2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(152,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)],[70]) ).

thf(153,plain,
    ( ( ! [REL2: $i > $o,ROW: $i,REL1: $i > $o] :
          ( ( ( subrelation_THFTYPE_IIioIIioIoI @ REL1 @ REL2 )
            & ( REL1 @ ROW ) )
         => ( REL2 @ ROW ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(154,plain,
    ( ( ! [CLASS1: $i,CLASS2: $i] :
          ( ( CLASS1 = CLASS2 )
         => ! [THING: $i] :
              ( ( instance_THFTYPE_IiioI @ THING @ CLASS1 )
            <=> ( instance_THFTYPE_IiioI @ THING @ CLASS2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(156,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)],[74]) ).

thf(158,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)],[76]) ).

thf(159,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( subclass_THFTYPE_IiioI @ X @ Y )
            & ( instance_THFTYPE_IiioI @ Z @ X ) )
         => ( instance_THFTYPE_IiioI @ Z @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[77]) ).

thf(161,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)],[79]) ).

thf(162,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 != Q ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[82]) ).

thf(163,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[161]) ).

thf(165,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( subclass_THFTYPE_IiioI @ X @ Y )
            & ( instance_THFTYPE_IiioI @ Z @ X ) )
         => ( instance_THFTYPE_IiioI @ Z @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[159]) ).

thf(166,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[158]) ).

thf(168,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[156]) ).

thf(170,plain,
    ( ( ! [CLASS1: $i,CLASS2: $i] :
          ( ( CLASS1 = CLASS2 )
         => ! [THING: $i] :
              ( ( instance_THFTYPE_IiioI @ THING @ CLASS1 )
            <=> ( instance_THFTYPE_IiioI @ THING @ CLASS2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[154]) ).

thf(171,plain,
    ( ( ! [REL2: $i > $o,ROW: $i,REL1: $i > $o] :
          ( ( ( subrelation_THFTYPE_IIioIIioIoI @ REL1 @ REL2 )
            & ( REL1 @ ROW ) )
         => ( REL2 @ ROW ) ) )
    = $true ),
    inference(copy,[status(thm)],[153]) ).

thf(172,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[152]) ).

thf(174,plain,
    ( ( ! [OBJ1: $i,OBJ2: $i] :
          ( ( located_THFTYPE_IiioI @ OBJ1 @ OBJ2 )
         => ! [SUB: $i] :
              ( ( part_THFTYPE_IiioI @ SUB @ OBJ1 )
             => ( located_THFTYPE_IiioI @ SUB @ OBJ2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[150]) ).

thf(175,plain,
    ( ( ! [THING2: $i,THING1: $i] :
          ( ( THING1 = THING2 )
         => ! [CLASS: $i] :
              ( ( instance_THFTYPE_IiioI @ THING1 @ CLASS )
            <=> ( instance_THFTYPE_IiioI @ THING2 @ CLASS ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[149]) ).

thf(176,plain,
    ( ( ! [CLASS1: $i,REL: $i,CLASS2: $i] :
          ( ( ( range_THFTYPE_IiioI @ REL @ CLASS1 )
            & ( range_THFTYPE_IiioI @ REL @ CLASS2 ) )
         => ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
            | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[148]) ).

thf(177,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[147]) ).

thf(179,plain,
    ( ( ! [SUBPROC: $i,PROC: $i] :
          ( ( subProcess_THFTYPE_IiioI @ SUBPROC @ PROC )
         => ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ SUBPROC ) @ ( lWhenFn_THFTYPE_IiiI @ PROC ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[145]) ).

thf(180,plain,
    ( ( ! [CLASS: $i,CHILD: $i,PARENT: $i] :
          ( ( ( parent_THFTYPE_IiioI @ CHILD @ PARENT )
            & ( subclass_THFTYPE_IiioI @ CLASS @ lOrganism_THFTYPE_i )
            & ( instance_THFTYPE_IiioI @ PARENT @ CLASS ) )
         => ( instance_THFTYPE_IiioI @ CHILD @ CLASS ) ) )
    = $true ),
    inference(copy,[status(thm)],[144]) ).

thf(181,plain,
    ( ( ! [INTERVAL1: $i,INTERVAL2: $i] :
          ( ( ( ( lBeginFn_THFTYPE_IiiI @ INTERVAL1 )
              = ( lBeginFn_THFTYPE_IiiI @ INTERVAL2 ) )
            & ( ( lEndFn_THFTYPE_IiiI @ INTERVAL1 )
              = ( lEndFn_THFTYPE_IiiI @ INTERVAL2 ) ) )
         => ( INTERVAL1 = INTERVAL2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[143]) ).

thf(182,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[142]) ).

thf(183,plain,
    ( ( ! [REL2: $i,CLASS1: $i,REL1: $i] :
          ( ( ( subrelation_THFTYPE_IiioI @ REL1 @ REL2 )
            & ( range_THFTYPE_IiioI @ REL2 @ CLASS1 ) )
         => ( range_THFTYPE_IiioI @ REL1 @ CLASS1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[141]) ).

thf(185,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[139]) ).

thf(187,plain,
    ( ( ! [NUMBER: $i,CLASS1: $i,REL: $i,CLASS2: $i] :
          ( ( ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS1 )
            & ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS2 ) )
         => ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
            | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[137]) ).

thf(189,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[135]) ).

thf(191,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[133]) ).

thf(193,plain,
    ( ( ! [ORGANISM: $i] :
          ( ( instance_THFTYPE_IiioI @ ORGANISM @ lOrganism_THFTYPE_i )
         => ? [PARENT: $i] : ( parent_THFTYPE_IiioI @ ORGANISM @ PARENT ) ) )
    = $true ),
    inference(copy,[status(thm)],[131]) ).

thf(194,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
         => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(copy,[status(thm)],[130]) ).

thf(195,plain,
    ( ( range_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTimeInterval_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[129]) ).

thf(196,plain,
    ( ( ! [OBJ: $i,PROCESS: $i] :
          ( ( located_THFTYPE_IiioI @ PROCESS @ OBJ )
         => ! [SUB: $i] :
              ( ( subProcess_THFTYPE_IiioI @ SUB @ PROCESS )
             => ( located_THFTYPE_IiioI @ SUB @ OBJ ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[128]) ).

thf(197,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[127]) ).

thf(199,plain,
    ( ( ! [INTERVAL1: $i,INTERVAL2: $i] :
          ( ( meetsTemporally_THFTYPE_IiioI @ INTERVAL1 @ INTERVAL2 )
        <=> ( ( lEndFn_THFTYPE_IiiI @ INTERVAL1 )
            = ( lBeginFn_THFTYPE_IiiI @ INTERVAL2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[125]) ).

thf(200,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)],[124]) ).

thf(201,plain,
    ( ( ! [NUMBER: $i,PRED1: $i,CLASS1: $i,PRED2: $i] :
          ( ( ( subrelation_THFTYPE_IiioI @ PRED1 @ PRED2 )
            & ( domain_THFTYPE_IiiioI @ PRED2 @ NUMBER @ CLASS1 ) )
         => ( domain_THFTYPE_IiiioI @ PRED1 @ NUMBER @ CLASS1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[123]) ).

thf(202,plain,
    ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[122]) ).

thf(203,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[121]) ).

thf(204,plain,
    ( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(205,plain,
    ( ( domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[119]) ).

thf(206,plain,
    ( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[118]) ).

thf(207,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[117]) ).

thf(208,plain,
    ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[116]) ).

thf(209,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n1_THFTYPE_i @ lProcess_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[115]) ).

thf(210,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[114]) ).

thf(211,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[113]) ).

thf(212,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subProcess_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[112]) ).

thf(213,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[111]) ).

thf(214,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[110]) ).

thf(215,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[109]) ).

thf(216,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n2_THFTYPE_i @ lProcess_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[108]) ).

thf(217,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTotalValuedRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[107]) ).

thf(218,plain,
    ( ( domain_THFTYPE_IiiioI @ agent_THFTYPE_i @ n1_THFTYPE_i @ lProcess_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[106]) ).

thf(219,plain,
    ( ( instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[105]) ).

thf(220,plain,
    ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[104]) ).

thf(221,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(222,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(223,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(224,plain,
    ( ( instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(225,plain,
    ( ( instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(226,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[98]) ).

thf(227,plain,
    ( ( domain_THFTYPE_IiiioI @ patient_THFTYPE_i @ n1_THFTYPE_i @ lProcess_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[97]) ).

thf(228,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[96]) ).

thf(229,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[95]) ).

thf(230,plain,
    ( ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[94]) ).

thf(231,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTotalValuedRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[93]) ).

thf(232,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n2_THFTYPE_i @ lTimeInterval_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[92]) ).

thf(233,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[91]) ).

thf(234,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[90]) ).

thf(235,plain,
    ( ( domain_THFTYPE_IIiiIiioI @ lEndFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[89]) ).

thf(236,plain,
    ( ( instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[88]) ).

thf(237,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[87]) ).

thf(238,plain,
    ( ( domain_THFTYPE_IIiiIiioI @ lBeginFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[86]) ).

thf(239,plain,
    ( ( instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[85]) ).

thf(240,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[84]) ).

thf(241,plain,
    ( ( instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[83]) ).

thf(242,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 != Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[162]) ).

thf(243,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ! [SX2: $i] :
              ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SX2 @ SX0 )
                    | ( instance_THFTYPE_IiioI @ SX2 @ SX1 ) )
                | ~ ( ~ ( instance_THFTYPE_IiioI @ SX2 @ SX1 )
                    | ( instance_THFTYPE_IiioI @ SX2 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[170]) ).

thf(244,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( located_THFTYPE_IiioI @ SX1 @ SX0 )
          | ! [SX2: $i] :
              ( ~ ( subProcess_THFTYPE_IiioI @ SX2 @ SX1 )
              | ( located_THFTYPE_IiioI @ SX2 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[196]) ).

thf(245,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( subclass_THFTYPE_IiioI @ SX0 @ SX1 )
                | ~ ( instance_THFTYPE_IiioI @ SX2 @ SX0 ) )
          | ( instance_THFTYPE_IiioI @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[165]) ).

thf(246,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( instance_THFTYPE_IiioI @ SX0 @ lOrganism_THFTYPE_i )
          | ~ ! [SX1: $i] :
                ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(247,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SX1 @ SX3 )
                | ~ ( domain_THFTYPE_IiiioI @ SX3 @ SX0 @ SX2 ) )
          | ( domain_THFTYPE_IiiioI @ SX1 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[201]) ).

thf(248,plain,
    ( ( ! [SX0: $o,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SX2 @ SX0 )
                | ~ ( temporalPart_THFTYPE_IiioI @ SX1 @ SX2 ) )
          | ( holdsDuring_THFTYPE_IiooI @ SX1 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[200]) ).

thf(249,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( subProcess_THFTYPE_IiioI @ SX0 @ SX1 )
          | ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ SX0 ) @ ( lWhenFn_THFTYPE_IiiI @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[179]) ).

thf(250,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( located_THFTYPE_IiioI @ SX0 @ SX1 )
          | ! [SX2: $i] :
              ( ~ ( part_THFTYPE_IiioI @ SX2 @ SX0 )
              | ( located_THFTYPE_IiioI @ SX2 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[174]) ).

thf(251,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 != SX0 )
          | ! [SX2: $i] :
              ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SX1 @ SX2 )
                    | ( instance_THFTYPE_IiioI @ SX0 @ SX2 ) )
                | ~ ( ~ ( instance_THFTYPE_IiioI @ SX0 @ SX2 )
                    | ( instance_THFTYPE_IiioI @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(252,plain,
    ( ( ! [SX0: $i > $o,SX1: $i,SX2: $i > $o] :
          ( ~ ~ ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SX2 @ SX0 )
                | ~ ( SX2 @ SX1 ) )
          | ( SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(253,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SX2 @ SX0 )
                | ~ ( range_THFTYPE_IiioI @ SX0 @ SX1 ) )
          | ( range_THFTYPE_IiioI @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[183]) ).

thf(254,plain,
    ( ( ! [SX0: $i,SX1: $o] :
          ( ~ ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ SX1 )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[194]) ).

thf(255,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( domain_THFTYPE_IiiioI @ SX2 @ SX0 @ SX1 )
                | ~ ( domain_THFTYPE_IiiioI @ SX2 @ SX0 @ SX3 ) )
          | ( subclass_THFTYPE_IiioI @ SX1 @ SX3 )
          | ( subclass_THFTYPE_IiioI @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[187]) ).

thf(256,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( meetsTemporally_THFTYPE_IiioI @ SX0 @ SX1 )
                | ( ( lEndFn_THFTYPE_IiiI @ SX0 )
                  = ( lBeginFn_THFTYPE_IiiI @ SX1 ) ) )
            | ~ ( ( ( lEndFn_THFTYPE_IiiI @ SX0 )
                 != ( lBeginFn_THFTYPE_IiiI @ SX1 ) )
                | ( meetsTemporally_THFTYPE_IiioI @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[199]) ).

thf(257,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( range_THFTYPE_IiioI @ SX1 @ SX0 )
                | ~ ( range_THFTYPE_IiioI @ SX1 @ SX2 ) )
          | ( subclass_THFTYPE_IiioI @ SX0 @ SX2 )
          | ( subclass_THFTYPE_IiioI @ SX2 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[176]) ).

thf(258,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ( ( lBeginFn_THFTYPE_IiiI @ SX0 )
                 != ( lBeginFn_THFTYPE_IiiI @ SX1 ) )
                | ( ( lEndFn_THFTYPE_IiiI @ SX0 )
                 != ( lEndFn_THFTYPE_IiiI @ SX1 ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[181]) ).

thf(259,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 != SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[242]) ).

thf(260,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SX1 @ SX2 )
                      | ~ ( subclass_THFTYPE_IiioI @ SX0 @ lOrganism_THFTYPE_i ) )
                | ~ ( instance_THFTYPE_IiioI @ SX2 @ SX0 ) )
          | ( instance_THFTYPE_IiioI @ SX1 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[180]) ).

thf(262,plain,
    ! [SV1: $i] :
      ( ( ! [SY54: $i] :
            ( ( SV1 != SY54 )
            | ! [SY55: $i] :
                ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SY55 @ SV1 )
                      | ( instance_THFTYPE_IiioI @ SY55 @ SY54 ) )
                  | ~ ( ~ ( instance_THFTYPE_IiioI @ SY55 @ SY54 )
                      | ( instance_THFTYPE_IiioI @ SY55 @ SV1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(263,plain,
    ! [SV2: $i] :
      ( ( ! [SY56: $i] :
            ( ~ ( located_THFTYPE_IiioI @ SY56 @ SV2 )
            | ! [SY57: $i] :
                ( ~ ( subProcess_THFTYPE_IiioI @ SY57 @ SY56 )
                | ( located_THFTYPE_IiioI @ SY57 @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(264,plain,
    ! [SV3: $i] :
      ( ( ! [SY58: $i,SY59: $i] :
            ( ~ ~ ( ~ ( subclass_THFTYPE_IiioI @ SV3 @ SY58 )
                  | ~ ( instance_THFTYPE_IiioI @ SY59 @ SV3 ) )
            | ( instance_THFTYPE_IiioI @ SY59 @ SY58 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(265,plain,
    ! [SV4: $i] :
      ( ( ~ ( instance_THFTYPE_IiioI @ SV4 @ lOrganism_THFTYPE_i )
        | ~ ! [SY60: $i] :
              ~ ( parent_THFTYPE_IiioI @ SV4 @ SY60 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[246]) ).

thf(266,plain,
    ! [SV5: $i] :
      ( ( ! [SY61: $i,SY62: $i,SY63: $i] :
            ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SY61 @ SY63 )
                  | ~ ( domain_THFTYPE_IiiioI @ SY63 @ SV5 @ SY62 ) )
            | ( domain_THFTYPE_IiiioI @ SY61 @ SV5 @ SY62 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(267,plain,
    ! [SV6: $o] :
      ( ( ! [SY64: $i,SY65: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY65 @ SV6 )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SY64 @ SY65 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SY64 @ SV6 ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[248]) ).

thf(268,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)],[248]) ).

thf(269,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)],[248]) ).

thf(270,plain,
    ! [SV7: $i] :
      ( ( ! [SY66: $i] :
            ( ~ ( subProcess_THFTYPE_IiioI @ SV7 @ SY66 )
            | ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ SV7 ) @ ( lWhenFn_THFTYPE_IiiI @ SY66 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[249]) ).

thf(271,plain,
    ! [SV8: $i] :
      ( ( ! [SY67: $i] :
            ( ~ ( located_THFTYPE_IiioI @ SV8 @ SY67 )
            | ! [SY68: $i] :
                ( ~ ( part_THFTYPE_IiioI @ SY68 @ SV8 )
                | ( located_THFTYPE_IiioI @ SY68 @ SY67 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[250]) ).

thf(272,plain,
    ! [SV9: $i] :
      ( ( ! [SY69: $i] :
            ( ( SY69 != SV9 )
            | ! [SY70: $i] :
                ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SY69 @ SY70 )
                      | ( instance_THFTYPE_IiioI @ SV9 @ SY70 ) )
                  | ~ ( ~ ( instance_THFTYPE_IiioI @ SV9 @ SY70 )
                      | ( instance_THFTYPE_IiioI @ SY69 @ SY70 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(273,plain,
    ! [SV10: $i > $o] :
      ( ( ! [SY71: $i,SY72: $i > $o] :
            ( ~ ~ ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SY72 @ SV10 )
                  | ~ ( SY72 @ SY71 ) )
            | ( SV10 @ SY71 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(274,plain,
    ! [SV11: $i] :
      ( ( ! [SY73: $i,SY74: $i] :
            ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SY74 @ SV11 )
                  | ~ ( range_THFTYPE_IiioI @ SV11 @ SY73 ) )
            | ( range_THFTYPE_IiioI @ SY74 @ SY73 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(275,plain,
    ! [SV12: $i] :
      ( ( ! [SY75: $o] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SY75 )
            | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ SY75 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(276,plain,
    ! [SV13: $i] :
      ( ( ! [SY76: $i,SY77: $i,SY78: $i] :
            ( ~ ~ ( ~ ( domain_THFTYPE_IiiioI @ SY77 @ SV13 @ SY76 )
                  | ~ ( domain_THFTYPE_IiiioI @ SY77 @ SV13 @ SY78 ) )
            | ( subclass_THFTYPE_IiioI @ SY76 @ SY78 )
            | ( subclass_THFTYPE_IiioI @ SY78 @ SY76 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(277,plain,
    ! [SV14: $i] :
      ( ( ! [SY79: $i] :
            ~ ( ~ ( ~ ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SY79 )
                  | ( ( lEndFn_THFTYPE_IiiI @ SV14 )
                    = ( lBeginFn_THFTYPE_IiiI @ SY79 ) ) )
              | ~ ( ( ( lEndFn_THFTYPE_IiiI @ SV14 )
                   != ( lBeginFn_THFTYPE_IiiI @ SY79 ) )
                  | ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SY79 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(278,plain,
    ! [SV15: $i] :
      ( ( ! [SY80: $i,SY81: $i] :
            ( ~ ~ ( ~ ( range_THFTYPE_IiioI @ SY80 @ SV15 )
                  | ~ ( range_THFTYPE_IiioI @ SY80 @ SY81 ) )
            | ( subclass_THFTYPE_IiioI @ SV15 @ SY81 )
            | ( subclass_THFTYPE_IiioI @ SY81 @ SV15 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(279,plain,
    ! [SV16: $i] :
      ( ( ! [SY82: $i] :
            ( ~ ~ ( ( ( lBeginFn_THFTYPE_IiiI @ SV16 )
                   != ( lBeginFn_THFTYPE_IiiI @ SY82 ) )
                  | ( ( lEndFn_THFTYPE_IiiI @ SV16 )
                   != ( lEndFn_THFTYPE_IiiI @ SY82 ) ) )
            | ( SV16 = SY82 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(280,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 != SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[259]) ).

thf(281,plain,
    ! [SV17: $i] :
      ( ( ! [SY83: $i,SY84: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SY83 @ SY84 )
                        | ~ ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i ) )
                  | ~ ( instance_THFTYPE_IiioI @ SY84 @ SV17 ) )
            | ( instance_THFTYPE_IiioI @ SY83 @ SV17 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(283,plain,
    ! [SV19: $i,SV1: $i] :
      ( ( ( SV1 != SV19 )
        | ! [SY87: $i] :
            ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SY87 @ SV1 )
                  | ( instance_THFTYPE_IiioI @ SY87 @ SV19 ) )
              | ~ ( ~ ( instance_THFTYPE_IiioI @ SY87 @ SV19 )
                  | ( instance_THFTYPE_IiioI @ SY87 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(284,plain,
    ! [SV2: $i,SV20: $i] :
      ( ( ~ ( located_THFTYPE_IiioI @ SV20 @ SV2 )
        | ! [SY88: $i] :
            ( ~ ( subProcess_THFTYPE_IiioI @ SY88 @ SV20 )
            | ( located_THFTYPE_IiioI @ SY88 @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(285,plain,
    ! [SV21: $i,SV3: $i] :
      ( ( ! [SY89: $i] :
            ( ~ ~ ( ~ ( subclass_THFTYPE_IiioI @ SV3 @ SV21 )
                  | ~ ( instance_THFTYPE_IiioI @ SY89 @ SV3 ) )
            | ( instance_THFTYPE_IiioI @ SY89 @ SV21 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(286,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV4 @ lOrganism_THFTYPE_i ) )
        = $true )
      | ( ( ~ ! [SY60: $i] :
                ~ ( parent_THFTYPE_IiioI @ SV4 @ SY60 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[265]) ).

thf(287,plain,
    ! [SV5: $i,SV22: $i] :
      ( ( ! [SY90: $i,SY91: $i] :
            ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV22 @ SY91 )
                  | ~ ( domain_THFTYPE_IiiioI @ SY91 @ SV5 @ SY90 ) )
            | ( domain_THFTYPE_IiiioI @ SV22 @ SV5 @ SY90 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(288,plain,
    ! [SV23: $i,SV6: $o] :
      ( ( ! [SY92: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY92 @ SV6 )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SV23 @ SY92 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SV23 @ SV6 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(289,plain,
    ! [SV24: $i] :
      ( ( ! [SY93: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY93 @ $true )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SV24 @ SY93 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SV24 @ $true ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(290,plain,
    ! [SV25: $i] :
      ( ( ! [SY94: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY94 @ $false )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SV25 @ SY94 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SV25 @ $false ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(291,plain,
    ! [SV26: $i,SV7: $i] :
      ( ( ~ ( subProcess_THFTYPE_IiioI @ SV7 @ SV26 )
        | ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ SV7 ) @ ( lWhenFn_THFTYPE_IiiI @ SV26 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[270]) ).

thf(292,plain,
    ! [SV27: $i,SV8: $i] :
      ( ( ~ ( located_THFTYPE_IiioI @ SV8 @ SV27 )
        | ! [SY95: $i] :
            ( ~ ( part_THFTYPE_IiioI @ SY95 @ SV8 )
            | ( located_THFTYPE_IiioI @ SY95 @ SV27 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[271]) ).

thf(293,plain,
    ! [SV9: $i,SV28: $i] :
      ( ( ( SV28 != SV9 )
        | ! [SY96: $i] :
            ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV28 @ SY96 )
                  | ( instance_THFTYPE_IiioI @ SV9 @ SY96 ) )
              | ~ ( ~ ( instance_THFTYPE_IiioI @ SV9 @ SY96 )
                  | ( instance_THFTYPE_IiioI @ SV28 @ SY96 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[272]) ).

thf(294,plain,
    ! [SV29: $i,SV10: $i > $o] :
      ( ( ! [SY97: $i > $o] :
            ( ~ ~ ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SY97 @ SV10 )
                  | ~ ( SY97 @ SV29 ) )
            | ( SV10 @ SV29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[273]) ).

thf(295,plain,
    ! [SV30: $i,SV11: $i] :
      ( ( ! [SY98: $i] :
            ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SY98 @ SV11 )
                  | ~ ( range_THFTYPE_IiioI @ SV11 @ SV30 ) )
            | ( range_THFTYPE_IiioI @ SY98 @ SV30 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(296,plain,
    ! [SV31: $o,SV12: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[275]) ).

thf(297,plain,
    ! [SV12: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[275]) ).

thf(298,plain,
    ! [SV12: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[275]) ).

thf(299,plain,
    ! [SV32: $i,SV13: $i] :
      ( ( ! [SY99: $i,SY100: $i] :
            ( ~ ~ ( ~ ( domain_THFTYPE_IiiioI @ SY99 @ SV13 @ SV32 )
                  | ~ ( domain_THFTYPE_IiiioI @ SY99 @ SV13 @ SY100 ) )
            | ( subclass_THFTYPE_IiioI @ SV32 @ SY100 )
            | ( subclass_THFTYPE_IiioI @ SY100 @ SV32 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[276]) ).

thf(300,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ~ ( ~ ( ~ ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SV33 )
                | ( ( lEndFn_THFTYPE_IiiI @ SV14 )
                  = ( lBeginFn_THFTYPE_IiiI @ SV33 ) ) )
            | ~ ( ( ( lEndFn_THFTYPE_IiiI @ SV14 )
                 != ( lBeginFn_THFTYPE_IiiI @ SV33 ) )
                | ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SV33 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(301,plain,
    ! [SV15: $i,SV34: $i] :
      ( ( ! [SY101: $i] :
            ( ~ ~ ( ~ ( range_THFTYPE_IiioI @ SV34 @ SV15 )
                  | ~ ( range_THFTYPE_IiioI @ SV34 @ SY101 ) )
            | ( subclass_THFTYPE_IiioI @ SV15 @ SY101 )
            | ( subclass_THFTYPE_IiioI @ SY101 @ SV15 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[278]) ).

thf(302,plain,
    ! [SV35: $i,SV16: $i] :
      ( ( ~ ~ ( ( ( lBeginFn_THFTYPE_IiiI @ SV16 )
               != ( lBeginFn_THFTYPE_IiiI @ SV35 ) )
              | ( ( lEndFn_THFTYPE_IiiI @ SV16 )
               != ( lEndFn_THFTYPE_IiiI @ SV35 ) ) )
        | ( SV16 = SV35 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(303,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 != SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[280]) ).

thf(304,plain,
    ! [SV17: $i,SV36: $i] :
      ( ( ! [SY102: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV36 @ SY102 )
                        | ~ ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i ) )
                  | ~ ( instance_THFTYPE_IiioI @ SY102 @ SV17 ) )
            | ( instance_THFTYPE_IiioI @ SV36 @ SV17 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[281]) ).

thf(306,plain,
    ! [SV19: $i,SV1: $i] :
      ( ( ( SV1 != SV19 )
        = $true )
      | ( ( ! [SY87: $i] :
              ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SY87 @ SV1 )
                    | ( instance_THFTYPE_IiioI @ SY87 @ SV19 ) )
                | ~ ( ~ ( instance_THFTYPE_IiioI @ SY87 @ SV19 )
                    | ( instance_THFTYPE_IiioI @ SY87 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[283]) ).

thf(307,plain,
    ! [SV2: $i,SV20: $i] :
      ( ( ( ~ ( located_THFTYPE_IiioI @ SV20 @ SV2 ) )
        = $true )
      | ( ( ! [SY88: $i] :
              ( ~ ( subProcess_THFTYPE_IiioI @ SY88 @ SV20 )
              | ( located_THFTYPE_IiioI @ SY88 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[284]) ).

thf(308,plain,
    ! [SV38: $i,SV21: $i,SV3: $i] :
      ( ( ~ ~ ( ~ ( subclass_THFTYPE_IiioI @ SV3 @ SV21 )
              | ~ ( instance_THFTYPE_IiioI @ SV38 @ SV3 ) )
        | ( instance_THFTYPE_IiioI @ SV38 @ SV21 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[285]) ).

thf(309,plain,
    ! [SV4: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV4 @ lOrganism_THFTYPE_i )
        = $false )
      | ( ( ~ ! [SY60: $i] :
                ~ ( parent_THFTYPE_IiioI @ SV4 @ SY60 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[286]) ).

thf(310,plain,
    ! [SV39: $i,SV5: $i,SV22: $i] :
      ( ( ! [SY104: $i] :
            ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV22 @ SY104 )
                  | ~ ( domain_THFTYPE_IiiioI @ SY104 @ SV5 @ SV39 ) )
            | ( domain_THFTYPE_IiiioI @ SV22 @ SV5 @ SV39 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(311,plain,
    ! [SV23: $i,SV6: $o,SV40: $i] :
      ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV40 @ SV6 )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV23 @ SV40 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV23 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[288]) ).

thf(312,plain,
    ! [SV24: $i,SV41: $i] :
      ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV41 @ $true )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV24 @ SV41 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV24 @ $true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[289]) ).

thf(313,plain,
    ! [SV25: $i,SV42: $i] :
      ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV42 @ $false )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV25 @ SV42 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV25 @ $false ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(314,plain,
    ! [SV26: $i,SV7: $i] :
      ( ( ( ~ ( subProcess_THFTYPE_IiioI @ SV7 @ SV26 ) )
        = $true )
      | ( ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ SV7 ) @ ( lWhenFn_THFTYPE_IiiI @ SV26 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[291]) ).

thf(315,plain,
    ! [SV27: $i,SV8: $i] :
      ( ( ( ~ ( located_THFTYPE_IiioI @ SV8 @ SV27 ) )
        = $true )
      | ( ( ! [SY95: $i] :
              ( ~ ( part_THFTYPE_IiioI @ SY95 @ SV8 )
              | ( located_THFTYPE_IiioI @ SY95 @ SV27 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[292]) ).

thf(316,plain,
    ! [SV9: $i,SV28: $i] :
      ( ( ( SV28 != SV9 )
        = $true )
      | ( ( ! [SY96: $i] :
              ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV28 @ SY96 )
                    | ( instance_THFTYPE_IiioI @ SV9 @ SY96 ) )
                | ~ ( ~ ( instance_THFTYPE_IiioI @ SV9 @ SY96 )
                    | ( instance_THFTYPE_IiioI @ SV28 @ SY96 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[293]) ).

thf(317,plain,
    ! [SV29: $i,SV10: $i > $o,SV43: $i > $o] :
      ( ( ~ ~ ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV43 @ SV10 )
              | ~ ( SV43 @ SV29 ) )
        | ( SV10 @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[294]) ).

thf(318,plain,
    ! [SV30: $i,SV11: $i,SV44: $i] :
      ( ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV44 @ SV11 )
              | ~ ( range_THFTYPE_IiioI @ SV11 @ SV30 ) )
        | ( range_THFTYPE_IiioI @ SV44 @ SV30 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[295]) ).

thf(319,plain,
    ! [SV31: $o,SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[296]) ).

thf(320,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[297]) ).

thf(321,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[298]) ).

thf(322,plain,
    ! [SV32: $i,SV13: $i,SV45: $i] :
      ( ( ! [SY105: $i] :
            ( ~ ~ ( ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV32 )
                  | ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SY105 ) )
            | ( subclass_THFTYPE_IiioI @ SV32 @ SY105 )
            | ( subclass_THFTYPE_IiioI @ SY105 @ SV32 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(323,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ~ ( ~ ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SV33 )
            | ( ( lEndFn_THFTYPE_IiiI @ SV14 )
              = ( lBeginFn_THFTYPE_IiiI @ SV33 ) ) )
        | ~ ( ( ( lEndFn_THFTYPE_IiiI @ SV14 )
             != ( lBeginFn_THFTYPE_IiiI @ SV33 ) )
            | ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SV33 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[300]) ).

thf(324,plain,
    ! [SV46: $i,SV15: $i,SV34: $i] :
      ( ( ~ ~ ( ~ ( range_THFTYPE_IiioI @ SV34 @ SV15 )
              | ~ ( range_THFTYPE_IiioI @ SV34 @ SV46 ) )
        | ( subclass_THFTYPE_IiioI @ SV15 @ SV46 )
        | ( subclass_THFTYPE_IiioI @ SV46 @ SV15 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(325,plain,
    ! [SV35: $i,SV16: $i] :
      ( ( ( ~ ~ ( ( ( lBeginFn_THFTYPE_IiiI @ SV16 )
                 != ( lBeginFn_THFTYPE_IiiI @ SV35 ) )
                | ( ( lEndFn_THFTYPE_IiiI @ SV16 )
                 != ( lEndFn_THFTYPE_IiiI @ SV35 ) ) ) )
        = $true )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[302]) ).

thf(326,plain,
    ! [SV47: $i > $i > $o] :
      ( ( ~ ~ ! [SY106: $i > $i > $o] :
                ~ ~ ! [SY107: $i] :
                      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                        @ ~ ( ~ ~ ( ~ ( SY106 @ SY107 @ lBill_THFTYPE_i )
                                  | ~ ( SV47 @ SY107 @ lAnna_THFTYPE_i ) )
                            | ~ ( ( SY106 != SV47 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(327,plain,
    ! [SV17: $i,SV48: $i,SV36: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV36 @ SV48 )
                    | ~ ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i ) )
              | ~ ( instance_THFTYPE_IiioI @ SV48 @ SV17 ) )
        | ( instance_THFTYPE_IiioI @ SV36 @ SV17 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(329,plain,
    ! [SV19: $i,SV1: $i] :
      ( ( ( SV1 = SV19 )
        = $false )
      | ( ( ! [SY87: $i] :
              ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SY87 @ SV1 )
                    | ( instance_THFTYPE_IiioI @ SY87 @ SV19 ) )
                | ~ ( ~ ( instance_THFTYPE_IiioI @ SY87 @ SV19 )
                    | ( instance_THFTYPE_IiioI @ SY87 @ SV1 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[306]) ).

thf(330,plain,
    ! [SV2: $i,SV20: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV20 @ SV2 )
        = $false )
      | ( ( ! [SY88: $i] :
              ( ~ ( subProcess_THFTYPE_IiioI @ SY88 @ SV20 )
              | ( located_THFTYPE_IiioI @ SY88 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[307]) ).

thf(331,plain,
    ! [SV38: $i,SV21: $i,SV3: $i] :
      ( ( ( ~ ~ ( ~ ( subclass_THFTYPE_IiioI @ SV3 @ SV21 )
                | ~ ( instance_THFTYPE_IiioI @ SV38 @ SV3 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV38 @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[308]) ).

thf(332,plain,
    ! [SV4: $i] :
      ( ( ( ! [SY60: $i] :
              ~ ( parent_THFTYPE_IiioI @ SV4 @ SY60 ) )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV4 @ lOrganism_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[309]) ).

thf(333,plain,
    ! [SV39: $i,SV5: $i,SV49: $i,SV22: $i] :
      ( ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV22 @ SV49 )
              | ~ ( domain_THFTYPE_IiiioI @ SV49 @ SV5 @ SV39 ) )
        | ( domain_THFTYPE_IiiioI @ SV22 @ SV5 @ SV39 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[310]) ).

thf(334,plain,
    ! [SV23: $i,SV6: $o,SV40: $i] :
      ( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV40 @ SV6 )
                | ~ ( temporalPart_THFTYPE_IiioI @ SV23 @ SV40 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV23 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[311]) ).

thf(335,plain,
    ! [SV24: $i,SV41: $i] :
      ( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV41 @ $true )
                | ~ ( temporalPart_THFTYPE_IiioI @ SV24 @ SV41 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV24 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[312]) ).

thf(336,plain,
    ! [SV25: $i,SV42: $i] :
      ( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV42 @ $false )
                | ~ ( temporalPart_THFTYPE_IiioI @ SV25 @ SV42 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV25 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[313]) ).

thf(337,plain,
    ! [SV26: $i,SV7: $i] :
      ( ( ( subProcess_THFTYPE_IiioI @ SV7 @ SV26 )
        = $false )
      | ( ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ SV7 ) @ ( lWhenFn_THFTYPE_IiiI @ SV26 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[314]) ).

thf(338,plain,
    ! [SV27: $i,SV8: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV8 @ SV27 )
        = $false )
      | ( ( ! [SY95: $i] :
              ( ~ ( part_THFTYPE_IiioI @ SY95 @ SV8 )
              | ( located_THFTYPE_IiioI @ SY95 @ SV27 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[315]) ).

thf(339,plain,
    ! [SV9: $i,SV28: $i] :
      ( ( ( SV28 = SV9 )
        = $false )
      | ( ( ! [SY96: $i] :
              ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV28 @ SY96 )
                    | ( instance_THFTYPE_IiioI @ SV9 @ SY96 ) )
                | ~ ( ~ ( instance_THFTYPE_IiioI @ SV9 @ SY96 )
                    | ( instance_THFTYPE_IiioI @ SV28 @ SY96 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[316]) ).

thf(340,plain,
    ! [SV29: $i,SV10: $i > $o,SV43: $i > $o] :
      ( ( ( ~ ~ ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV43 @ SV10 )
                | ~ ( SV43 @ SV29 ) ) )
        = $true )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[317]) ).

thf(341,plain,
    ! [SV30: $i,SV11: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV44 @ SV11 )
                | ~ ( range_THFTYPE_IiioI @ SV11 @ SV30 ) ) )
        = $true )
      | ( ( range_THFTYPE_IiioI @ SV44 @ SV30 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[318]) ).

thf(342,plain,
    ! [SV31: $o,SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[319]) ).

thf(343,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[320]) ).

thf(344,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[321]) ).

thf(345,plain,
    ! [SV50: $i,SV32: $i,SV13: $i,SV45: $i] :
      ( ( ~ ~ ( ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV32 )
              | ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV50 ) )
        | ( subclass_THFTYPE_IiioI @ SV32 @ SV50 )
        | ( subclass_THFTYPE_IiioI @ SV50 @ SV32 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[322]) ).

thf(346,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ~ ( ~ ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SV33 )
            | ( ( lEndFn_THFTYPE_IiiI @ SV14 )
              = ( lBeginFn_THFTYPE_IiiI @ SV33 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[323]) ).

thf(347,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ~ ( ( ( lEndFn_THFTYPE_IiiI @ SV14 )
             != ( lBeginFn_THFTYPE_IiiI @ SV33 ) )
            | ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SV33 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[323]) ).

thf(348,plain,
    ! [SV46: $i,SV15: $i,SV34: $i] :
      ( ( ( ~ ~ ( ~ ( range_THFTYPE_IiioI @ SV34 @ SV15 )
                | ~ ( range_THFTYPE_IiioI @ SV34 @ SV46 ) ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV15 @ SV46 )
          | ( subclass_THFTYPE_IiioI @ SV46 @ SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[324]) ).

thf(349,plain,
    ! [SV35: $i,SV16: $i] :
      ( ( ( ~ ( ( ( lBeginFn_THFTYPE_IiiI @ SV16 )
               != ( lBeginFn_THFTYPE_IiiI @ SV35 ) )
              | ( ( lEndFn_THFTYPE_IiiI @ SV16 )
               != ( lEndFn_THFTYPE_IiiI @ SV35 ) ) ) )
        = $false )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[325]) ).

thf(350,plain,
    ! [SV47: $i > $i > $o] :
      ( ( ~ ! [SY106: $i > $i > $o] :
              ~ ~ ! [SY107: $i] :
                    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                      @ ~ ( ~ ~ ( ~ ( SY106 @ SY107 @ lBill_THFTYPE_i )
                                | ~ ( SV47 @ SY107 @ lAnna_THFTYPE_i ) )
                          | ~ ( ( SY106 != SV47 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[326]) ).

thf(351,plain,
    ! [SV17: $i,SV48: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV36 @ SV48 )
                      | ~ ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i ) )
                | ~ ( instance_THFTYPE_IiioI @ SV48 @ SV17 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV36 @ SV17 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[327]) ).

thf(353,plain,
    ! [SV19: $i,SV1: $i,SV51: $i] :
      ( ( ( ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV51 @ SV1 )
                  | ( instance_THFTYPE_IiioI @ SV51 @ SV19 ) )
              | ~ ( ~ ( instance_THFTYPE_IiioI @ SV51 @ SV19 )
                  | ( instance_THFTYPE_IiioI @ SV51 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 = SV19 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(354,plain,
    ! [SV2: $i,SV20: $i,SV52: $i] :
      ( ( ( ~ ( subProcess_THFTYPE_IiioI @ SV52 @ SV20 )
          | ( located_THFTYPE_IiioI @ SV52 @ SV2 ) )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV20 @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(355,plain,
    ! [SV38: $i,SV21: $i,SV3: $i] :
      ( ( ( ~ ( ~ ( subclass_THFTYPE_IiioI @ SV3 @ SV21 )
              | ~ ( instance_THFTYPE_IiioI @ SV38 @ SV3 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV38 @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[331]) ).

thf(356,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV4 @ ( sK1_SY60 @ SV4 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV4 @ lOrganism_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[332]) ).

thf(357,plain,
    ! [SV39: $i,SV5: $i,SV49: $i,SV22: $i] :
      ( ( ( ~ ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV22 @ SV49 )
                | ~ ( domain_THFTYPE_IiiioI @ SV49 @ SV5 @ SV39 ) ) )
        = $true )
      | ( ( domain_THFTYPE_IiiioI @ SV22 @ SV5 @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[333]) ).

thf(358,plain,
    ! [SV23: $i,SV6: $o,SV40: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV40 @ SV6 )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV23 @ SV40 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV23 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[334]) ).

thf(359,plain,
    ! [SV24: $i,SV41: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV41 @ $true )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV24 @ SV41 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV24 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[335]) ).

thf(360,plain,
    ! [SV25: $i,SV42: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV42 @ $false )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV25 @ SV42 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV25 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[336]) ).

thf(361,plain,
    ! [SV27: $i,SV8: $i,SV53: $i] :
      ( ( ( ~ ( part_THFTYPE_IiioI @ SV53 @ SV8 )
          | ( located_THFTYPE_IiioI @ SV53 @ SV27 ) )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV8 @ SV27 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(362,plain,
    ! [SV9: $i,SV54: $i,SV28: $i] :
      ( ( ( ~ ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV28 @ SV54 )
                  | ( instance_THFTYPE_IiioI @ SV9 @ SV54 ) )
              | ~ ( ~ ( instance_THFTYPE_IiioI @ SV9 @ SV54 )
                  | ( instance_THFTYPE_IiioI @ SV28 @ SV54 ) ) ) )
        = $true )
      | ( ( SV28 = SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(363,plain,
    ! [SV29: $i,SV10: $i > $o,SV43: $i > $o] :
      ( ( ( ~ ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV43 @ SV10 )
              | ~ ( SV43 @ SV29 ) ) )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[340]) ).

thf(364,plain,
    ! [SV30: $i,SV11: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV44 @ SV11 )
              | ~ ( range_THFTYPE_IiioI @ SV11 @ SV30 ) ) )
        = $false )
      | ( ( range_THFTYPE_IiioI @ SV44 @ SV30 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[341]) ).

thf(365,plain,
    ! [SV31: $o,SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[342]) ).

thf(366,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[343]) ).

thf(367,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[344]) ).

thf(368,plain,
    ! [SV50: $i,SV32: $i,SV13: $i,SV45: $i] :
      ( ( ( ~ ~ ( ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV32 )
                | ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV50 ) ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV32 @ SV50 )
          | ( subclass_THFTYPE_IiioI @ SV50 @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[345]) ).

thf(369,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ~ ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SV33 )
        | ( ( lEndFn_THFTYPE_IiiI @ SV14 )
          = ( lBeginFn_THFTYPE_IiiI @ SV33 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[346]) ).

thf(370,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ( ( lEndFn_THFTYPE_IiiI @ SV14 )
         != ( lBeginFn_THFTYPE_IiiI @ SV33 ) )
        | ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SV33 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[347]) ).

thf(371,plain,
    ! [SV46: $i,SV15: $i,SV34: $i] :
      ( ( ( ~ ( ~ ( range_THFTYPE_IiioI @ SV34 @ SV15 )
              | ~ ( range_THFTYPE_IiioI @ SV34 @ SV46 ) ) )
        = $false )
      | ( ( ( subclass_THFTYPE_IiioI @ SV15 @ SV46 )
          | ( subclass_THFTYPE_IiioI @ SV46 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[348]) ).

thf(372,plain,
    ! [SV35: $i,SV16: $i] :
      ( ( ( ( ( lBeginFn_THFTYPE_IiiI @ SV16 )
           != ( lBeginFn_THFTYPE_IiiI @ SV35 ) )
          | ( ( lEndFn_THFTYPE_IiiI @ SV16 )
           != ( lEndFn_THFTYPE_IiiI @ SV35 ) ) )
        = $true )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[349]) ).

thf(373,plain,
    ! [SV47: $i > $i > $o] :
      ( ( ! [SY106: $i > $i > $o] :
            ~ ~ ! [SY107: $i] :
                  ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                    @ ~ ( ~ ~ ( ~ ( SY106 @ SY107 @ lBill_THFTYPE_i )
                              | ~ ( SV47 @ SY107 @ lAnna_THFTYPE_i ) )
                        | ~ ( ( SY106 != SV47 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[350]) ).

thf(374,plain,
    ! [SV17: $i,SV48: $i,SV36: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV36 @ SV48 )
                    | ~ ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i ) )
              | ~ ( instance_THFTYPE_IiioI @ SV48 @ SV17 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV36 @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[351]) ).

thf(376,plain,
    ! [SV19: $i,SV1: $i,SV51: $i] :
      ( ( ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV51 @ SV1 )
              | ( instance_THFTYPE_IiioI @ SV51 @ SV19 ) )
          | ~ ( ~ ( instance_THFTYPE_IiioI @ SV51 @ SV19 )
              | ( instance_THFTYPE_IiioI @ SV51 @ SV1 ) ) )
        = $false )
      | ( ( SV1 = SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[353]) ).

thf(377,plain,
    ! [SV2: $i,SV20: $i,SV52: $i] :
      ( ( ( ~ ( subProcess_THFTYPE_IiioI @ SV52 @ SV20 ) )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV52 @ SV2 )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV20 @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[354]) ).

thf(378,plain,
    ! [SV38: $i,SV21: $i,SV3: $i] :
      ( ( ( ~ ( subclass_THFTYPE_IiioI @ SV3 @ SV21 )
          | ~ ( instance_THFTYPE_IiioI @ SV38 @ SV3 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV38 @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[355]) ).

thf(379,plain,
    ! [SV4: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV4 @ ( sK1_SY60 @ SV4 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV4 @ lOrganism_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[356]) ).

thf(380,plain,
    ! [SV39: $i,SV5: $i,SV49: $i,SV22: $i] :
      ( ( ( ~ ( ~ ( subrelation_THFTYPE_IiioI @ SV22 @ SV49 )
              | ~ ( domain_THFTYPE_IiiioI @ SV49 @ SV5 @ SV39 ) ) )
        = $false )
      | ( ( domain_THFTYPE_IiiioI @ SV22 @ SV5 @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[357]) ).

thf(381,plain,
    ! [SV23: $i,SV6: $o,SV40: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV40 @ SV6 )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV23 @ SV40 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV23 @ SV6 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[358]) ).

thf(382,plain,
    ! [SV24: $i,SV41: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV41 @ $true )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV24 @ SV41 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV24 @ $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[359]) ).

thf(383,plain,
    ! [SV25: $i,SV42: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV42 @ $false )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV25 @ SV42 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV25 @ $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[360]) ).

thf(384,plain,
    ! [SV27: $i,SV8: $i,SV53: $i] :
      ( ( ( ~ ( part_THFTYPE_IiioI @ SV53 @ SV8 ) )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV53 @ SV27 )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV8 @ SV27 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[361]) ).

thf(385,plain,
    ! [SV9: $i,SV54: $i,SV28: $i] :
      ( ( ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV28 @ SV54 )
              | ( instance_THFTYPE_IiioI @ SV9 @ SV54 ) )
          | ~ ( ~ ( instance_THFTYPE_IiioI @ SV9 @ SV54 )
              | ( instance_THFTYPE_IiioI @ SV28 @ SV54 ) ) )
        = $false )
      | ( ( SV28 = SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(386,plain,
    ! [SV29: $i,SV10: $i > $o,SV43: $i > $o] :
      ( ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV43 @ SV10 )
          | ~ ( SV43 @ SV29 ) )
        = $true )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[363]) ).

thf(387,plain,
    ! [SV30: $i,SV11: $i,SV44: $i] :
      ( ( ( ~ ( subrelation_THFTYPE_IiioI @ SV44 @ SV11 )
          | ~ ( range_THFTYPE_IiioI @ SV11 @ SV30 ) )
        = $true )
      | ( ( range_THFTYPE_IiioI @ SV44 @ SV30 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[364]) ).

thf(388,plain,
    ! [SV50: $i,SV32: $i,SV13: $i,SV45: $i] :
      ( ( ( ~ ( ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV32 )
              | ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV50 ) ) )
        = $false )
      | ( ( ( subclass_THFTYPE_IiioI @ SV32 @ SV50 )
          | ( subclass_THFTYPE_IiioI @ SV50 @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[368]) ).

thf(389,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ( ~ ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SV33 ) )
        = $true )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV14 )
          = ( lBeginFn_THFTYPE_IiiI @ SV33 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[369]) ).

thf(390,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ( ( lEndFn_THFTYPE_IiiI @ SV14 )
         != ( lBeginFn_THFTYPE_IiiI @ SV33 ) )
        = $true )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[370]) ).

thf(391,plain,
    ! [SV46: $i,SV15: $i,SV34: $i] :
      ( ( ( ~ ( range_THFTYPE_IiioI @ SV34 @ SV15 )
          | ~ ( range_THFTYPE_IiioI @ SV34 @ SV46 ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV15 @ SV46 )
          | ( subclass_THFTYPE_IiioI @ SV46 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[371]) ).

thf(392,plain,
    ! [SV35: $i,SV16: $i] :
      ( ( ( ( lBeginFn_THFTYPE_IiiI @ SV16 )
         != ( lBeginFn_THFTYPE_IiiI @ SV35 ) )
        = $true )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV16 )
         != ( lEndFn_THFTYPE_IiiI @ SV35 ) )
        = $true )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[372]) ).

thf(393,plain,
    ! [SV47: $i > $i > $o,SV56: $i > $i > $o] :
      ( ( ~ ~ ! [SY108: $i] :
                ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                  @ ~ ( ~ ~ ( ~ ( SV56 @ SY108 @ lBill_THFTYPE_i )
                            | ~ ( SV47 @ SY108 @ lAnna_THFTYPE_i ) )
                      | ~ ( ( SV56 != SV47 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[373]) ).

thf(394,plain,
    ! [SV17: $i,SV48: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV36 @ SV48 )
                | ~ ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i ) )
          | ~ ( instance_THFTYPE_IiioI @ SV48 @ SV17 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV36 @ SV17 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[374]) ).

thf(396,plain,
    ! [SV19: $i,SV1: $i,SV51: $i] :
      ( ( ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV51 @ SV1 )
              | ( instance_THFTYPE_IiioI @ SV51 @ SV19 ) ) )
        = $false )
      | ( ( SV1 = SV19 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[376]) ).

thf(397,plain,
    ! [SV1: $i,SV19: $i,SV51: $i] :
      ( ( ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV51 @ SV19 )
              | ( instance_THFTYPE_IiioI @ SV51 @ SV1 ) ) )
        = $false )
      | ( ( SV1 = SV19 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[376]) ).

thf(398,plain,
    ! [SV2: $i,SV20: $i,SV52: $i] :
      ( ( ( subProcess_THFTYPE_IiioI @ SV52 @ SV20 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV52 @ SV2 )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV20 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[377]) ).

thf(399,plain,
    ! [SV38: $i,SV21: $i,SV3: $i] :
      ( ( ( ~ ( subclass_THFTYPE_IiioI @ SV3 @ SV21 ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV38 @ SV3 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV38 @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[378]) ).

thf(400,plain,
    ! [SV39: $i,SV5: $i,SV49: $i,SV22: $i] :
      ( ( ( ~ ( subrelation_THFTYPE_IiioI @ SV22 @ SV49 )
          | ~ ( domain_THFTYPE_IiiioI @ SV49 @ SV5 @ SV39 ) )
        = $true )
      | ( ( domain_THFTYPE_IiiioI @ SV22 @ SV5 @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[380]) ).

thf(401,plain,
    ! [SV23: $i,SV6: $o,SV40: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV40 @ SV6 ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV23 @ SV40 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV23 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[381]) ).

thf(402,plain,
    ! [SV24: $i,SV41: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV41 @ $true ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV24 @ SV41 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV24 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[382]) ).

thf(403,plain,
    ! [SV25: $i,SV42: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV42 @ $false ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV25 @ SV42 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV25 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[383]) ).

thf(404,plain,
    ! [SV27: $i,SV8: $i,SV53: $i] :
      ( ( ( part_THFTYPE_IiioI @ SV53 @ SV8 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV53 @ SV27 )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV8 @ SV27 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[384]) ).

thf(405,plain,
    ! [SV9: $i,SV54: $i,SV28: $i] :
      ( ( ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV28 @ SV54 )
              | ( instance_THFTYPE_IiioI @ SV9 @ SV54 ) ) )
        = $false )
      | ( ( SV28 = SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[385]) ).

thf(406,plain,
    ! [SV28: $i,SV54: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( instance_THFTYPE_IiioI @ SV9 @ SV54 )
              | ( instance_THFTYPE_IiioI @ SV28 @ SV54 ) ) )
        = $false )
      | ( ( SV28 = SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[385]) ).

thf(407,plain,
    ! [SV29: $i,SV10: $i > $o,SV43: $i > $o] :
      ( ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV43 @ SV10 ) )
        = $true )
      | ( ( ~ ( SV43 @ SV29 ) )
        = $true )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[386]) ).

thf(408,plain,
    ! [SV30: $i,SV11: $i,SV44: $i] :
      ( ( ( ~ ( subrelation_THFTYPE_IiioI @ SV44 @ SV11 ) )
        = $true )
      | ( ( ~ ( range_THFTYPE_IiioI @ SV11 @ SV30 ) )
        = $true )
      | ( ( range_THFTYPE_IiioI @ SV44 @ SV30 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[387]) ).

thf(409,plain,
    ! [SV50: $i,SV32: $i,SV13: $i,SV45: $i] :
      ( ( ( ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV32 )
          | ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV50 ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV32 @ SV50 )
          | ( subclass_THFTYPE_IiioI @ SV50 @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[388]) ).

thf(410,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SV33 )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV14 )
          = ( lBeginFn_THFTYPE_IiiI @ SV33 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[389]) ).

thf(411,plain,
    ! [SV33: $i,SV14: $i] :
      ( ( ( ( lEndFn_THFTYPE_IiiI @ SV14 )
          = ( lBeginFn_THFTYPE_IiiI @ SV33 ) )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV14 @ SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[390]) ).

thf(412,plain,
    ! [SV46: $i,SV15: $i,SV34: $i] :
      ( ( ( ~ ( range_THFTYPE_IiioI @ SV34 @ SV15 ) )
        = $true )
      | ( ( ~ ( range_THFTYPE_IiioI @ SV34 @ SV46 ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV15 @ SV46 )
          | ( subclass_THFTYPE_IiioI @ SV46 @ SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[391]) ).

thf(413,plain,
    ! [SV35: $i,SV16: $i] :
      ( ( ( ( lBeginFn_THFTYPE_IiiI @ SV16 )
          = ( lBeginFn_THFTYPE_IiiI @ SV35 ) )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV16 )
         != ( lEndFn_THFTYPE_IiiI @ SV35 ) )
        = $true )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(414,plain,
    ! [SV47: $i > $i > $o,SV56: $i > $i > $o] :
      ( ( ~ ! [SY108: $i] :
              ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                @ ~ ( ~ ~ ( ~ ( SV56 @ SY108 @ lBill_THFTYPE_i )
                          | ~ ( SV47 @ SY108 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV56 != SV47 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[393]) ).

thf(415,plain,
    ! [SV17: $i,SV48: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ( parent_THFTYPE_IiioI @ SV36 @ SV48 )
                | ~ ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV48 @ SV17 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV36 @ SV17 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[394]) ).

thf(417,plain,
    ! [SV19: $i,SV1: $i,SV51: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV51 @ SV1 )
          | ( instance_THFTYPE_IiioI @ SV51 @ SV19 ) )
        = $true )
      | ( ( SV1 = SV19 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[396]) ).

thf(418,plain,
    ! [SV1: $i,SV19: $i,SV51: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV51 @ SV19 )
          | ( instance_THFTYPE_IiioI @ SV51 @ SV1 ) )
        = $true )
      | ( ( SV1 = SV19 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[397]) ).

thf(419,plain,
    ! [SV38: $i,SV21: $i,SV3: $i] :
      ( ( ( subclass_THFTYPE_IiioI @ SV3 @ SV21 )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV38 @ SV3 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV38 @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[399]) ).

thf(420,plain,
    ! [SV39: $i,SV5: $i,SV49: $i,SV22: $i] :
      ( ( ( ~ ( subrelation_THFTYPE_IiioI @ SV22 @ SV49 ) )
        = $true )
      | ( ( ~ ( domain_THFTYPE_IiiioI @ SV49 @ SV5 @ SV39 ) )
        = $true )
      | ( ( domain_THFTYPE_IiiioI @ SV22 @ SV5 @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[400]) ).

thf(421,plain,
    ! [SV23: $i,SV6: $o,SV40: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV40 @ SV6 )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV23 @ SV40 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV23 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[401]) ).

thf(422,plain,
    ! [SV24: $i,SV41: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV41 @ $true )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV24 @ SV41 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV24 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[402]) ).

thf(423,plain,
    ! [SV25: $i,SV42: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV42 @ $false )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV25 @ SV42 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV25 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[403]) ).

thf(424,plain,
    ! [SV9: $i,SV54: $i,SV28: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV28 @ SV54 )
          | ( instance_THFTYPE_IiioI @ SV9 @ SV54 ) )
        = $true )
      | ( ( SV28 = SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[405]) ).

thf(425,plain,
    ! [SV28: $i,SV54: $i,SV9: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV9 @ SV54 )
          | ( instance_THFTYPE_IiioI @ SV28 @ SV54 ) )
        = $true )
      | ( ( SV28 = SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[406]) ).

thf(426,plain,
    ! [SV29: $i,SV10: $i > $o,SV43: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43 @ SV10 )
        = $false )
      | ( ( ~ ( SV43 @ SV29 ) )
        = $true )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[407]) ).

thf(427,plain,
    ! [SV30: $i,SV11: $i,SV44: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ SV44 @ SV11 )
        = $false )
      | ( ( ~ ( range_THFTYPE_IiioI @ SV11 @ SV30 ) )
        = $true )
      | ( ( range_THFTYPE_IiioI @ SV44 @ SV30 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[408]) ).

thf(428,plain,
    ! [SV50: $i,SV32: $i,SV13: $i,SV45: $i] :
      ( ( ( ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV32 ) )
        = $true )
      | ( ( ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV50 ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV32 @ SV50 )
          | ( subclass_THFTYPE_IiioI @ SV50 @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[409]) ).

thf(429,plain,
    ! [SV46: $i,SV15: $i,SV34: $i] :
      ( ( ( range_THFTYPE_IiioI @ SV34 @ SV15 )
        = $false )
      | ( ( ~ ( range_THFTYPE_IiioI @ SV34 @ SV46 ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV15 @ SV46 )
          | ( subclass_THFTYPE_IiioI @ SV46 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[412]) ).

thf(430,plain,
    ! [SV35: $i,SV16: $i] :
      ( ( ( ( lEndFn_THFTYPE_IiiI @ SV16 )
          = ( lEndFn_THFTYPE_IiiI @ SV35 ) )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV16 )
          = ( lBeginFn_THFTYPE_IiiI @ SV35 ) )
        = $false )
      | ( ( SV16 = SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[413]) ).

thf(431,plain,
    ! [SV47: $i > $i > $o,SV56: $i > $i > $o] :
      ( ( ! [SY108: $i] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ~ ~ ( ~ ( SV56 @ SY108 @ lBill_THFTYPE_i )
                        | ~ ( SV47 @ SY108 @ lAnna_THFTYPE_i ) )
                  | ~ ( ( SV56 != SV47 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[414]) ).

thf(432,plain,
    ! [SV17: $i,SV48: $i,SV36: $i] :
      ( ( ( ~ ( ~ ( parent_THFTYPE_IiioI @ SV36 @ SV48 )
              | ~ ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV48 @ SV17 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV36 @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[415]) ).

thf(433,plain,
    ! [SV19: $i,SV1: $i,SV51: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV51 @ SV1 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV51 @ SV19 )
        = $true )
      | ( ( SV1 = SV19 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[417]) ).

thf(434,plain,
    ! [SV1: $i,SV19: $i,SV51: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV51 @ SV19 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV51 @ SV1 )
        = $true )
      | ( ( SV1 = SV19 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[418]) ).

thf(435,plain,
    ! [SV21: $i,SV3: $i,SV38: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV38 @ SV3 )
        = $false )
      | ( ( subclass_THFTYPE_IiioI @ SV3 @ SV21 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV38 @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[419]) ).

thf(436,plain,
    ! [SV39: $i,SV5: $i,SV49: $i,SV22: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ SV22 @ SV49 )
        = $false )
      | ( ( ~ ( domain_THFTYPE_IiiioI @ SV49 @ SV5 @ SV39 ) )
        = $true )
      | ( ( domain_THFTYPE_IiiioI @ SV22 @ SV5 @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[420]) ).

thf(437,plain,
    ! [SV6: $o,SV40: $i,SV23: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV23 @ SV40 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV40 @ SV6 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV23 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[421]) ).

thf(438,plain,
    ! [SV41: $i,SV24: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV24 @ SV41 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV41 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV24 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[422]) ).

thf(439,plain,
    ! [SV42: $i,SV25: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV25 @ SV42 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV42 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV25 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(440,plain,
    ! [SV9: $i,SV54: $i,SV28: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV28 @ SV54 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV9 @ SV54 )
        = $true )
      | ( ( SV28 = SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[424]) ).

thf(441,plain,
    ! [SV28: $i,SV54: $i,SV9: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV9 @ SV54 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV28 @ SV54 )
        = $true )
      | ( ( SV28 = SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[425]) ).

thf(442,plain,
    ! [SV10: $i > $o,SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43 @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[426]) ).

thf(443,plain,
    ! [SV44: $i,SV30: $i,SV11: $i] :
      ( ( ( range_THFTYPE_IiioI @ SV11 @ SV30 )
        = $false )
      | ( ( subrelation_THFTYPE_IiioI @ SV44 @ SV11 )
        = $false )
      | ( ( range_THFTYPE_IiioI @ SV44 @ SV30 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[427]) ).

thf(444,plain,
    ! [SV50: $i,SV32: $i,SV13: $i,SV45: $i] :
      ( ( ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV32 )
        = $false )
      | ( ( ~ ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV50 ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV32 @ SV50 )
          | ( subclass_THFTYPE_IiioI @ SV50 @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[428]) ).

thf(445,plain,
    ! [SV15: $i,SV46: $i,SV34: $i] :
      ( ( ( range_THFTYPE_IiioI @ SV34 @ SV46 )
        = $false )
      | ( ( range_THFTYPE_IiioI @ SV34 @ SV15 )
        = $false )
      | ( ( ( subclass_THFTYPE_IiioI @ SV15 @ SV46 )
          | ( subclass_THFTYPE_IiioI @ SV46 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[429]) ).

thf(446,plain,
    ! [SV47: $i > $i > $o,SV57: $i,SV56: $i > $i > $o] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ( SV56 @ SV57 @ lBill_THFTYPE_i )
                      | ~ ( SV47 @ SV57 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV56 != SV47 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[431]) ).

thf(447,plain,
    ! [SV17: $i,SV48: $i,SV36: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV36 @ SV48 )
          | ~ ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV48 @ SV17 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV36 @ SV17 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[432]) ).

thf(448,plain,
    ! [SV19: $i,SV1: $i,SV51: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV51 @ SV1 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV51 @ SV19 )
        = $true )
      | ( ( SV1 = SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[433]) ).

thf(449,plain,
    ! [SV1: $i,SV19: $i,SV51: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV51 @ SV19 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV51 @ SV1 )
        = $true )
      | ( ( SV1 = SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[434]) ).

thf(450,plain,
    ! [SV22: $i,SV39: $i,SV5: $i,SV49: $i] :
      ( ( ( domain_THFTYPE_IiiioI @ SV49 @ SV5 @ SV39 )
        = $false )
      | ( ( subrelation_THFTYPE_IiioI @ SV22 @ SV49 )
        = $false )
      | ( ( domain_THFTYPE_IiiioI @ SV22 @ SV5 @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[436]) ).

thf(451,plain,
    ! [SV9: $i,SV54: $i,SV28: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV28 @ SV54 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV9 @ SV54 )
        = $true )
      | ( ( SV28 = SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[440]) ).

thf(452,plain,
    ! [SV28: $i,SV54: $i,SV9: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV9 @ SV54 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV28 @ SV54 )
        = $true )
      | ( ( SV28 = SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[441]) ).

thf(453,plain,
    ! [SV32: $i,SV50: $i,SV13: $i,SV45: $i] :
      ( ( ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV50 )
        = $false )
      | ( ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV32 )
        = $false )
      | ( ( ( subclass_THFTYPE_IiioI @ SV32 @ SV50 )
          | ( subclass_THFTYPE_IiioI @ SV50 @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[444]) ).

thf(454,plain,
    ! [SV34: $i,SV46: $i,SV15: $i] :
      ( ( ( subclass_THFTYPE_IiioI @ SV15 @ SV46 )
        = $true )
      | ( ( subclass_THFTYPE_IiioI @ SV46 @ SV15 )
        = $true )
      | ( ( range_THFTYPE_IiioI @ SV34 @ SV15 )
        = $false )
      | ( ( range_THFTYPE_IiioI @ SV34 @ SV46 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[445]) ).

thf(455,plain,
    ! [SV47: $i > $i > $o,SV57: $i,SV56: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ( SV56 @ SV57 @ lBill_THFTYPE_i )
                  | ~ ( SV47 @ SV57 @ lAnna_THFTYPE_i ) )
            | ~ ( ( SV56 != SV47 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[446]) ).

thf(456,plain,
    ! [SV17: $i,SV48: $i,SV36: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV36 @ SV48 ) )
        = $true )
      | ( ( ~ ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV48 @ SV17 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV36 @ SV17 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[447]) ).

thf(457,plain,
    ! [SV13: $i,SV45: $i,SV50: $i,SV32: $i] :
      ( ( ( subclass_THFTYPE_IiioI @ SV32 @ SV50 )
        = $true )
      | ( ( subclass_THFTYPE_IiioI @ SV50 @ SV32 )
        = $true )
      | ( ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV32 )
        = $false )
      | ( ( domain_THFTYPE_IiiioI @ SV45 @ SV13 @ SV50 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[453]) ).

thf(458,plain,
    ! [SV17: $i,SV48: $i,SV36: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV36 @ SV48 )
        = $false )
      | ( ( ~ ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV48 @ SV17 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV36 @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[456]) ).

thf(459,plain,
    ! [SV48: $i,SV36: $i,SV17: $i] :
      ( ( ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ SV36 @ SV48 )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV48 @ SV17 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV36 @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[458]) ).

thf(460,plain,
    ! [SV36: $i,SV17: $i,SV48: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV48 @ SV17 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ SV36 @ SV48 )
        = $false )
      | ( ( subclass_THFTYPE_IiioI @ SV17 @ lOrganism_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV36 @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[459]) ).

thf(462,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : $false )
        = $false )
      | ( $false = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV84: $i] : $false ))]]) ).

thf(463,plain,
    ! [SV83: $i > $o,SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] :
              ~ ( SV83 @ SX0 ) )
        = $false )
      | ( ( ~ ( SV83 @ SV29 ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV82: $i] : ~ ( SV83 @ SV82 ) ))]]) ).

thf(464,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lAnna_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV58: $i] : ( SV58 = lAnna_THFTYPE_i ) ))]]) ).

thf(465,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = agent_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = agent_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV59: $i] : ( SV59 = agent_THFTYPE_i ) ))]]) ).

thf(466,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lBill_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lBill_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV60: $i] : ( SV60 = lBill_THFTYPE_i ) ))]]) ).

thf(467,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lBinaryPredicate_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lBinaryPredicate_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV61: $i] : ( SV61 = lBinaryPredicate_THFTYPE_i ) ))]]) ).

thf(468,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = n2_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = n2_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV62: $i] : ( SV62 = n2_THFTYPE_i ) ))]]) ).

thf(469,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lInteger_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lInteger_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV63: $i] : ( SV63 = lInteger_THFTYPE_i ) ))]]) ).

thf(470,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lBen_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lBen_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV64: $i] : ( SV64 = lBen_THFTYPE_i ) ))]]) ).

thf(471,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lOrganism_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lOrganism_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV65: $i] : ( SV65 = lOrganism_THFTYPE_i ) ))]]) ).

thf(472,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lSue_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lSue_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV66: $i] : ( SV66 = lSue_THFTYPE_i ) ))]]) ).

thf(473,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = n2009_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = n2009_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV67: $i] : ( SV67 = n2009_THFTYPE_i ) ))]]) ).

thf(474,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lAsymmetricRelation_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lAsymmetricRelation_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV68: $i] : ( SV68 = lAsymmetricRelation_THFTYPE_i ) ))]]) ).

thf(475,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lWhenFn_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lWhenFn_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV69: $i] : ( SV69 = lWhenFn_THFTYPE_i ) ))]]) ).

thf(476,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lProcess_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lProcess_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV70: $i] : ( SV70 = lProcess_THFTYPE_i ) ))]]) ).

thf(477,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lMary_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV71: $i] : ( SV71 = lMary_THFTYPE_i ) ))]]) ).

thf(478,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lTemporalRelation_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lTemporalRelation_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV72: $i] : ( SV72 = lTemporalRelation_THFTYPE_i ) ))]]) ).

thf(479,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lBob_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV73: $i] : ( SV73 = lBob_THFTYPE_i ) ))]]) ).

thf(480,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = equal_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = equal_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV74: $i] : ( SV74 = equal_THFTYPE_i ) ))]]) ).

thf(481,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lTimeInterval_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lTimeInterval_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV75: $i] : ( SV75 = lTimeInterval_THFTYPE_i ) ))]]) ).

thf(482,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lMeasureFn_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lMeasureFn_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV76: $i] : ( SV76 = lMeasureFn_THFTYPE_i ) ))]]) ).

thf(483,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = n1_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = n1_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV77: $i] : ( SV77 = n1_THFTYPE_i ) ))]]) ).

thf(484,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = attribute_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = attribute_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV78: $i] : ( SV78 = attribute_THFTYPE_i ) ))]]) ).

thf(485,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lUnaryFunction_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lUnaryFunction_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV79: $i] : ( SV79 = lUnaryFunction_THFTYPE_i ) ))]]) ).

thf(486,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = patient_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = patient_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV80: $i] : ( SV80 = patient_THFTYPE_i ) ))]]) ).

thf(487,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : ( SX0 = lTotalValuedRelation_THFTYPE_i ) )
        = $false )
      | ( ( SV29 = lTotalValuedRelation_THFTYPE_i )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV10,$thf( ^ [SV81: $i] : ( SV81 = lTotalValuedRelation_THFTYPE_i ) ))]]) ).

thf(488,plain,
    ! [SV29: $i,SV10: $i > $o] :
      ( ( $true = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : $true
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV113: $i] : $true ))]]) ).

thf(490,plain,
    ! [SV10: $i > $o,SV29: $i,SV111: $i > $o] :
      ( ( ( ~ ( SV111 @ SV29 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ~ ( SV111 @ SX0 )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV110: $i] : ~ ( SV111 @ SV110 ) ))]]) ).

thf(491,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV86: $i] : ( SV86 = lAnna_THFTYPE_i ) ))]]) ).

thf(492,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lBill_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV87: $i] : ( SV87 = lBill_THFTYPE_i ) ))]]) ).

thf(493,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lBinaryPredicate_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lBinaryPredicate_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV88: $i] : ( SV88 = lBinaryPredicate_THFTYPE_i ) ))]]) ).

thf(494,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lBen_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV89: $i] : ( SV89 = lBen_THFTYPE_i ) ))]]) ).

thf(495,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lOrganism_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lOrganism_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV90: $i] : ( SV90 = lOrganism_THFTYPE_i ) ))]]) ).

thf(496,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lSue_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lSue_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV91: $i] : ( SV91 = lSue_THFTYPE_i ) ))]]) ).

thf(497,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = n2009_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = n2009_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV92: $i] : ( SV92 = n2009_THFTYPE_i ) ))]]) ).

thf(498,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lAsymmetricRelation_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAsymmetricRelation_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV93: $i] : ( SV93 = lAsymmetricRelation_THFTYPE_i ) ))]]) ).

thf(499,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lWhenFn_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lWhenFn_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV94: $i] : ( SV94 = lWhenFn_THFTYPE_i ) ))]]) ).

thf(500,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lProcess_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lProcess_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV95: $i] : ( SV95 = lProcess_THFTYPE_i ) ))]]) ).

thf(501,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lTemporalRelation_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lTemporalRelation_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV96: $i] : ( SV96 = lTemporalRelation_THFTYPE_i ) ))]]) ).

thf(502,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lBob_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV97: $i] : ( SV97 = lBob_THFTYPE_i ) ))]]) ).

thf(503,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = equal_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = equal_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV98: $i] : ( SV98 = equal_THFTYPE_i ) ))]]) ).

thf(504,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = n1_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = n1_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV99: $i] : ( SV99 = n1_THFTYPE_i ) ))]]) ).

thf(505,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = patient_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = patient_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV100: $i] : ( SV100 = patient_THFTYPE_i ) ))]]) ).

thf(506,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lTotalValuedRelation_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lTotalValuedRelation_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV101: $i] : ( SV101 = lTotalValuedRelation_THFTYPE_i ) ))]]) ).

thf(507,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = agent_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = agent_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV102: $i] : ( SV102 = agent_THFTYPE_i ) ))]]) ).

thf(508,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = n2_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = n2_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV103: $i] : ( SV103 = n2_THFTYPE_i ) ))]]) ).

thf(509,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lInteger_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lInteger_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV104: $i] : ( SV104 = lInteger_THFTYPE_i ) ))]]) ).

thf(510,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lMary_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV105: $i] : ( SV105 = lMary_THFTYPE_i ) ))]]) ).

thf(511,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lTimeInterval_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lTimeInterval_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV106: $i] : ( SV106 = lTimeInterval_THFTYPE_i ) ))]]) ).

thf(512,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lMeasureFn_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lMeasureFn_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV107: $i] : ( SV107 = lMeasureFn_THFTYPE_i ) ))]]) ).

thf(513,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = attribute_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = attribute_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV108: $i] : ( SV108 = attribute_THFTYPE_i ) ))]]) ).

thf(514,plain,
    ! [SV10: $i > $o,SV29: $i] :
      ( ( ( SV29 = lUnaryFunction_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lUnaryFunction_THFTYPE_i )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(prim_subst,[status(thm)],[442:[bind(SV43,$thf( ^ [SV109: $i] : ( SV109 = lUnaryFunction_THFTYPE_i ) ))]]) ).

thf(515,plain,
    ! [SV31: $o,SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 )
          = ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[365]) ).

thf(516,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
          = ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[366]) ).

thf(517,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false )
          = ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[367]) ).

thf(518,plain,
    ! [SV31: $o,SV12: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 )
              | ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[515]) ).

thf(520,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
              | ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[516]) ).

thf(522,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false )
              | ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[517]) ).

thf(525,plain,
    ! [SV31: $o,SV12: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[518]) ).

thf(527,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[520]) ).

thf(529,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[522]) ).

thf(531,plain,
    ! [SV31: $o,SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[525]) ).

thf(533,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[527]) ).

thf(535,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[529]) ).

thf(537,plain,
    ! [SV31: $o,SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[531]) ).

thf(539,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[533]) ).

thf(541,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[535]) ).

thf(542,plain,
    ! [SV31: $o,SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[537]) ).

thf(543,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[539]) ).

thf(544,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[541]) ).

thf(545,plain,
    ! [SV31: $o,SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[542]) ).

thf(546,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[543]) ).

thf(547,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[544]) ).

thf(561,plain,
    ! [SV43: $i > $o,SV29: $i,SV83: $i > $o] :
      ( ( ( SV83 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] :
              ~ ( SV83 @ SX0 ) )
        = $false )
      | ( ( SV43 @ SV29 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[463]) ).

thf(562,plain,
    ! [SV10: $i > $o,SV29: $i,SV111: $i > $o] :
      ( ( ( SV111 @ SV29 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ~ ( SV111 @ SX0 )
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[490]) ).

thf(563,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[491:[bind(SV29,$thf( lAnna_THFTYPE_i ))]]) ).

thf(564,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lBill_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[492:[bind(SV29,$thf( lBill_THFTYPE_i ))]]) ).

thf(565,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lBinaryPredicate_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lBinaryPredicate_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[493:[bind(SV29,$thf( lBinaryPredicate_THFTYPE_i ))]]) ).

thf(566,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lBen_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[494:[bind(SV29,$thf( lBen_THFTYPE_i ))]]) ).

thf(567,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lOrganism_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lOrganism_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[495:[bind(SV29,$thf( lOrganism_THFTYPE_i ))]]) ).

thf(568,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lSue_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lSue_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[496:[bind(SV29,$thf( lSue_THFTYPE_i ))]]) ).

thf(569,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ n2009_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = n2009_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[497:[bind(SV29,$thf( n2009_THFTYPE_i ))]]) ).

thf(570,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lAsymmetricRelation_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAsymmetricRelation_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[498:[bind(SV29,$thf( lAsymmetricRelation_THFTYPE_i ))]]) ).

thf(571,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lWhenFn_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lWhenFn_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[499:[bind(SV29,$thf( lWhenFn_THFTYPE_i ))]]) ).

thf(572,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lProcess_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lProcess_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[500:[bind(SV29,$thf( lProcess_THFTYPE_i ))]]) ).

thf(573,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lTemporalRelation_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lTemporalRelation_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[501:[bind(SV29,$thf( lTemporalRelation_THFTYPE_i ))]]) ).

thf(574,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lBob_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[502:[bind(SV29,$thf( lBob_THFTYPE_i ))]]) ).

thf(575,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ equal_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = equal_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[503:[bind(SV29,$thf( equal_THFTYPE_i ))]]) ).

thf(576,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ n1_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = n1_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[504:[bind(SV29,$thf( n1_THFTYPE_i ))]]) ).

thf(577,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ patient_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = patient_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[505:[bind(SV29,$thf( patient_THFTYPE_i ))]]) ).

thf(578,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lTotalValuedRelation_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lTotalValuedRelation_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[506:[bind(SV29,$thf( lTotalValuedRelation_THFTYPE_i ))]]) ).

thf(579,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ agent_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = agent_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[507:[bind(SV29,$thf( agent_THFTYPE_i ))]]) ).

thf(580,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ n2_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = n2_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[508:[bind(SV29,$thf( n2_THFTYPE_i ))]]) ).

thf(581,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lInteger_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lInteger_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[509:[bind(SV29,$thf( lInteger_THFTYPE_i ))]]) ).

thf(582,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lMary_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[510:[bind(SV29,$thf( lMary_THFTYPE_i ))]]) ).

thf(583,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lTimeInterval_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lTimeInterval_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[511:[bind(SV29,$thf( lTimeInterval_THFTYPE_i ))]]) ).

thf(584,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lMeasureFn_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lMeasureFn_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[512:[bind(SV29,$thf( lMeasureFn_THFTYPE_i ))]]) ).

thf(585,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ attribute_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = attribute_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[513:[bind(SV29,$thf( attribute_THFTYPE_i ))]]) ).

thf(586,plain,
    ! [SV10: $i > $o] :
      ( ( ( SV10 @ lUnaryFunction_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lUnaryFunction_THFTYPE_i )
          @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[514:[bind(SV29,$thf( lUnaryFunction_THFTYPE_i ))]]) ).

thf(587,plain,
    ! [SV31: $o,SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ SV31 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ SV31 )
        = $false ) ),
    inference(sim,[status(thm)],[545]) ).

thf(588,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
        = $false ) ),
    inference(sim,[status(thm)],[546]) ).

thf(589,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $false )
        = $false ) ),
    inference(sim,[status(thm)],[547]) ).

thf(590,plain,
    ! [SV29: $i,SV43: $i > $o] :
      ( ( ( SV43 @ SV29 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ SV43
          @ ^ [SX0: $i] : $false )
        = $false ) ),
    inference(sim,[status(thm)],[462]) ).

thf(591,plain,
    ! [SV29: $i,SV10: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : $true
          @ SV10 )
        = $false )
      | ( ( SV10 @ SV29 )
        = $true ) ),
    inference(sim,[status(thm)],[488]) ).

thf(592,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                  | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
            | ~ ( ( SV116 != SV114 ) ) ) )
      = $false ),
    inference(rename,[status(thm)],[455]) ).

thf(633,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[592,197]) ).

thf(635,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[592,191]) ).

thf(636,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[592,189]) ).

thf(637,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[592,185]) ).

thf(638,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[592,182]) ).

thf(639,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[592,177]) ).

thf(640,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[592,172]) ).

thf(641,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[592,168]) ).

thf(642,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[592,166]) ).

thf(643,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[592,163]) ).

thf(644,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[643]) ).

thf(645,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[643]) ).

thf(646,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[642]) ).

thf(647,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[642]) ).

thf(648,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[641]) ).

thf(649,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[641]) ).

thf(650,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[640]) ).

thf(651,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[640]) ).

thf(652,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[639]) ).

thf(653,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[639]) ).

thf(654,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[638]) ).

thf(655,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[638]) ).

thf(656,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[638]) ).

thf(657,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[638]) ).

thf(658,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[637]) ).

thf(659,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[637]) ).

thf(660,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[636]) ).

thf(661,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[636]) ).

thf(662,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[636]) ).

thf(663,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[636]) ).

thf(664,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[635]) ).

thf(665,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[635]) ).

thf(666,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[635]) ).

thf(667,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[635]) ).

thf(668,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[633]) ).

thf(669,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[633]) ).

thf(670,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[645]) ).

thf(671,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[644]) ).

thf(672,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[647]) ).

thf(673,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[646]) ).

thf(674,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[649]) ).

thf(675,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[648]) ).

thf(676,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[651]) ).

thf(677,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[650]) ).

thf(678,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[653]) ).

thf(679,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[652]) ).

thf(680,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[657]) ).

thf(681,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[656]) ).

thf(682,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[655]) ).

thf(683,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[655]) ).

thf(684,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[654]) ).

thf(685,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[659]) ).

thf(686,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[658]) ).

thf(687,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[663]) ).

thf(688,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[662]) ).

thf(689,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[661]) ).

thf(690,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[661]) ).

thf(691,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[660]) ).

thf(692,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[667]) ).

thf(693,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[666]) ).

thf(694,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[665]) ).

thf(695,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[665]) ).

thf(696,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[664]) ).

thf(697,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[669]) ).

thf(698,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[668]) ).

thf(699,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[670]) ).

thf(700,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[671]) ).

thf(701,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[671]) ).

thf(702,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[672]) ).

thf(703,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[673]) ).

thf(704,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[673]) ).

thf(705,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[674]) ).

thf(706,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[675]) ).

thf(707,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[675]) ).

thf(708,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[676]) ).

thf(709,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[677]) ).

thf(710,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[677]) ).

thf(711,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[678]) ).

thf(712,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[679]) ).

thf(713,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[679]) ).

thf(714,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[680]) ).

thf(715,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[681]) ).

thf(716,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[681]) ).

thf(717,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[682]) ).

thf(718,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[683]) ).

thf(719,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[684]) ).

thf(720,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[685]) ).

thf(721,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[686]) ).

thf(722,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[686]) ).

thf(723,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[687]) ).

thf(724,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[688]) ).

thf(725,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[688]) ).

thf(726,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[689]) ).

thf(727,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[690]) ).

thf(728,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[691]) ).

thf(729,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[692]) ).

thf(730,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[693]) ).

thf(731,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[693]) ).

thf(732,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[694]) ).

thf(733,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[695]) ).

thf(734,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[696]) ).

thf(735,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[697]) ).

thf(736,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[698]) ).

thf(737,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[698]) ).

thf(738,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[699]) ).

thf(739,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[700]) ).

thf(740,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[701]) ).

thf(741,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[702]) ).

thf(742,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[703]) ).

thf(743,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[704]) ).

thf(744,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[705]) ).

thf(745,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[706]) ).

thf(746,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[707]) ).

thf(747,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[708]) ).

thf(748,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[709]) ).

thf(749,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[710]) ).

thf(750,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[711]) ).

thf(751,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[712]) ).

thf(752,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[713]) ).

thf(753,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[714]) ).

thf(754,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[715]) ).

thf(755,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[716]) ).

thf(756,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[717]) ).

thf(757,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[718]) ).

thf(758,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[719]) ).

thf(759,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[720]) ).

thf(760,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[721]) ).

thf(761,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[722]) ).

thf(762,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[723]) ).

thf(763,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[724]) ).

thf(764,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[725]) ).

thf(765,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[726]) ).

thf(766,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[727]) ).

thf(767,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[728]) ).

thf(768,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[729]) ).

thf(769,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[730]) ).

thf(770,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[731]) ).

thf(771,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[732]) ).

thf(772,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[733]) ).

thf(773,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[734]) ).

thf(774,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[735]) ).

thf(775,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[736]) ).

thf(776,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[737]) ).

thf(777,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[738]) ).

thf(778,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[739]) ).

thf(779,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[740]) ).

thf(780,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[741]) ).

thf(781,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[742]) ).

thf(782,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[743]) ).

thf(783,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[744]) ).

thf(784,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[745]) ).

thf(785,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[746]) ).

thf(786,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[747]) ).

thf(787,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[748]) ).

thf(788,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[749]) ).

thf(789,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[750]) ).

thf(790,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[751]) ).

thf(791,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[752]) ).

thf(792,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[753]) ).

thf(793,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[754]) ).

thf(794,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[755]) ).

thf(795,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[756]) ).

thf(796,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[756]) ).

thf(797,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV117: $i] :
              ( ( SV116 @ SV117 )
              = ( SV114 @ SV117 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[757]) ).

thf(798,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[757]) ).

thf(799,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[758]) ).

thf(800,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[759]) ).

thf(801,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[760]) ).

thf(802,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[761]) ).

thf(803,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[762]) ).

thf(804,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[763]) ).

thf(805,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[764]) ).

thf(806,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[765]) ).

thf(807,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[765]) ).

thf(808,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV118: $i] :
              ( ( SV116 @ SV118 )
              = ( SV114 @ SV118 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[766]) ).

thf(809,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[766]) ).

thf(810,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[767]) ).

thf(811,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[768]) ).

thf(812,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[769]) ).

thf(813,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[770]) ).

thf(814,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[771]) ).

thf(815,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[771]) ).

thf(816,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV119: $i] :
              ( ( SV116 @ SV119 )
              = ( SV114 @ SV119 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[772]) ).

thf(817,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[772]) ).

thf(818,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[773]) ).

thf(819,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[774]) ).

thf(820,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[775]) ).

thf(821,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[776]) ).

thf(822,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[777]) ).

thf(823,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[778]) ).

thf(824,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[778]) ).

thf(825,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV120: $i] :
              ( ( SV116 @ SV120 )
              = ( SV114 @ SV120 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[779]) ).

thf(826,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[779]) ).

thf(827,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[780]) ).

thf(828,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[781]) ).

thf(829,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[781]) ).

thf(830,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV121: $i] :
              ( ( SV116 @ SV121 )
              = ( SV114 @ SV121 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[782]) ).

thf(831,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[782]) ).

thf(832,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[783]) ).

thf(833,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[784]) ).

thf(834,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[784]) ).

thf(835,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV122: $i] :
              ( ( SV116 @ SV122 )
              = ( SV114 @ SV122 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[785]) ).

thf(836,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[785]) ).

thf(837,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[786]) ).

thf(838,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[787]) ).

thf(839,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[787]) ).

thf(840,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV123: $i] :
              ( ( SV116 @ SV123 )
              = ( SV114 @ SV123 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[788]) ).

thf(841,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[788]) ).

thf(842,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[789]) ).

thf(843,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[790]) ).

thf(844,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[790]) ).

thf(845,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV124: $i] :
              ( ( SV116 @ SV124 )
              = ( SV114 @ SV124 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[791]) ).

thf(846,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[791]) ).

thf(847,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[792]) ).

thf(848,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[793]) ).

thf(849,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[793]) ).

thf(850,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV125: $i] :
              ( ( SV116 @ SV125 )
              = ( SV114 @ SV125 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[794]) ).

thf(851,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[794]) ).

thf(852,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[795]) ).

thf(853,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[796]) ).

thf(854,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[797]) ).

thf(855,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[799]) ).

thf(856,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[800]) ).

thf(857,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[801]) ).

thf(858,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[801]) ).

thf(859,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV126: $i] :
              ( ( SV116 @ SV126 )
              = ( SV114 @ SV126 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[802]) ).

thf(860,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[802]) ).

thf(861,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[803]) ).

thf(862,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[804]) ).

thf(863,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[804]) ).

thf(864,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV127: $i] :
              ( ( SV116 @ SV127 )
              = ( SV114 @ SV127 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[805]) ).

thf(865,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[805]) ).

thf(866,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[806]) ).

thf(867,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[807]) ).

thf(868,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[808]) ).

thf(869,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[810]) ).

thf(870,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[811]) ).

thf(871,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[812]) ).

thf(872,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[812]) ).

thf(873,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV128: $i] :
              ( ( SV116 @ SV128 )
              = ( SV114 @ SV128 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[813]) ).

thf(874,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[813]) ).

thf(875,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[814]) ).

thf(876,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[815]) ).

thf(877,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[816]) ).

thf(878,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[818]) ).

thf(879,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[819]) ).

thf(880,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[820]) ).

thf(881,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[820]) ).

thf(882,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV129: $i] :
              ( ( SV116 @ SV129 )
              = ( SV114 @ SV129 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[821]) ).

thf(883,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[821]) ).

thf(884,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[822]) ).

thf(885,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[823]) ).

thf(886,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[824]) ).

thf(887,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[825]) ).

thf(888,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[827]) ).

thf(889,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[828]) ).

thf(890,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[829]) ).

thf(891,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[830]) ).

thf(892,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[832]) ).

thf(893,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[833]) ).

thf(894,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[834]) ).

thf(895,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[835]) ).

thf(896,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[837]) ).

thf(897,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[838]) ).

thf(898,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[839]) ).

thf(899,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[840]) ).

thf(900,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[842]) ).

thf(901,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[843]) ).

thf(902,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[844]) ).

thf(903,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[845]) ).

thf(904,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[847]) ).

thf(905,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[848]) ).

thf(906,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[849]) ).

thf(907,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[850]) ).

thf(908,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 = SV114 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[851]) ).

thf(909,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV130: $i] :
              ( ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ SV130 )
              = ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ SV130 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[854]) ).

thf(910,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[854]) ).

thf(911,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[855]) ).

thf(912,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[856]) ).

thf(913,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[857]) ).

thf(914,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[858]) ).

thf(915,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[859]) ).

thf(916,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[861]) ).

thf(917,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[862]) ).

thf(918,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[863]) ).

thf(919,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[864]) ).

thf(920,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV116 = SV114 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[865]) ).

thf(921,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV131: $i] :
              ( ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ SV131 )
              = ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ SV131 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[868]) ).

thf(922,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[868]) ).

thf(923,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[869]) ).

thf(924,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[870]) ).

thf(925,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[871]) ).

thf(926,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[872]) ).

thf(927,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[873]) ).

thf(928,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV116 = SV114 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[874]) ).

thf(929,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV132: $i] :
              ( ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ SV132 )
              = ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ SV132 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[877]) ).

thf(930,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[877]) ).

thf(931,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[878]) ).

thf(932,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[879]) ).

thf(933,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[880]) ).

thf(934,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[881]) ).

thf(935,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[882]) ).

thf(936,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[884]) ).

thf(937,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV133: $i] :
              ( ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ SV133 )
              = ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ SV133 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[887]) ).

thf(938,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[887]) ).

thf(939,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[888]) ).

thf(940,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV134: $i] :
              ( ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ SV134 )
              = ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ SV134 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[891]) ).

thf(941,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[891]) ).

thf(942,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[892]) ).

thf(943,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV135: $i] :
              ( ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ SV135 )
              = ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ SV135 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[895]) ).

thf(944,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[895]) ).

thf(945,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[896]) ).

thf(946,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV136: $i] :
              ( ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ SV136 )
              = ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ SV136 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[899]) ).

thf(947,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[899]) ).

thf(948,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[900]) ).

thf(949,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV137: $i] :
              ( ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ SV137 )
              = ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ SV137 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[903]) ).

thf(950,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[903]) ).

thf(951,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[904]) ).

thf(952,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[905]) ).

thf(953,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[906]) ).

thf(954,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV138: $i] :
              ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ SV138 )
              = ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ SV138 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[907]) ).

thf(955,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[907]) ).

thf(956,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[909]) ).

thf(957,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[911]) ).

thf(958,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[912]) ).

thf(959,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV139: $i] :
              ( ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ SV139 )
              = ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ SV139 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[915]) ).

thf(960,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[915]) ).

thf(961,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[916]) ).

thf(962,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[917]) ).

thf(963,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[918]) ).

thf(964,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV140: $i] :
              ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ SV140 )
              = ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ SV140 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[919]) ).

thf(965,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[919]) ).

thf(966,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[921]) ).

thf(967,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[923]) ).

thf(968,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[924]) ).

thf(969,plain,
    ! [SV115: $i,SV116: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[925]) ).

thf(970,plain,
    ! [SV115: $i,SV114: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[926]) ).

thf(971,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV141: $i] :
              ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ SV141 )
              = ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ SV141 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[927]) ).

thf(972,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[927]) ).

thf(973,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[929]) ).

thf(974,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[931]) ).

thf(975,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[932]) ).

thf(976,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV142: $i] :
              ( ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ SV142 )
              = ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ SV142 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[935]) ).

thf(977,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[935]) ).

thf(978,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[936]) ).

thf(979,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[937]) ).

thf(980,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[939]) ).

thf(981,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[940]) ).

thf(982,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[942]) ).

thf(983,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[943]) ).

thf(984,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[945]) ).

thf(985,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[946]) ).

thf(986,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[948]) ).

thf(987,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[949]) ).

thf(988,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[951]) ).

thf(989,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[954]) ).

thf(990,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[955]) ).

thf(991,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[956]) ).

thf(992,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[956]) ).

thf(993,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[957]) ).

thf(994,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[958]) ).

thf(995,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[959]) ).

thf(996,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[961]) ).

thf(997,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[964]) ).

thf(998,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[965]) ).

thf(999,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[966]) ).

thf(1000,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[966]) ).

thf(1001,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[967]) ).

thf(1002,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[968]) ).

thf(1003,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[971]) ).

thf(1004,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[972]) ).

thf(1005,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[973]) ).

thf(1006,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[973]) ).

thf(1007,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[974]) ).

thf(1008,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[975]) ).

thf(1009,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[976]) ).

thf(1010,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[978]) ).

thf(1011,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[979]) ).

thf(1012,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[979]) ).

thf(1013,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[980]) ).

thf(1014,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[981]) ).

thf(1015,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[981]) ).

thf(1016,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[982]) ).

thf(1017,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[983]) ).

thf(1018,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[983]) ).

thf(1019,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[984]) ).

thf(1020,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[985]) ).

thf(1021,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[985]) ).

thf(1022,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[986]) ).

thf(1023,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[987]) ).

thf(1024,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[987]) ).

thf(1025,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[988]) ).

thf(1026,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[989]) ).

thf(1027,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[989]) ).

thf(1028,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[991]) ).

thf(1029,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[991]) ).

thf(1030,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV143: $i] :
              ( ( SV116 @ SV143 )
              = ( SV114 @ SV143 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[993]) ).

thf(1031,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[993]) ).

thf(1032,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[994]) ).

thf(1033,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[995]) ).

thf(1034,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[995]) ).

thf(1035,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[996]) ).

thf(1036,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[997]) ).

thf(1037,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[997]) ).

thf(1038,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[999]) ).

thf(1039,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[999]) ).

thf(1040,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV144: $i] :
              ( ( SV116 @ SV144 )
              = ( SV114 @ SV144 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1001]) ).

thf(1041,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1001]) ).

thf(1042,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1002]) ).

thf(1043,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1003]) ).

thf(1044,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1003]) ).

thf(1045,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1005]) ).

thf(1046,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1005]) ).

thf(1047,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV145: $i] :
              ( ( SV116 @ SV145 )
              = ( SV114 @ SV145 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1007]) ).

thf(1048,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1007]) ).

thf(1049,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1008]) ).

thf(1050,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1009]) ).

thf(1051,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1009]) ).

thf(1052,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV146: $i] :
              ( ( SV116 @ SV146 )
              = ( SV114 @ SV146 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1010]) ).

thf(1053,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1010]) ).

thf(1054,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1011]) ).

thf(1055,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1011]) ).

thf(1056,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV147: $i] :
              ( ( SV116 @ SV147 )
              = ( SV114 @ SV147 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1013]) ).

thf(1057,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1013]) ).

thf(1058,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1014]) ).

thf(1059,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1014]) ).

thf(1060,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV148: $i] :
              ( ( SV116 @ SV148 )
              = ( SV114 @ SV148 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1016]) ).

thf(1061,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1016]) ).

thf(1062,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1017]) ).

thf(1063,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1017]) ).

thf(1064,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV149: $i] :
              ( ( SV116 @ SV149 )
              = ( SV114 @ SV149 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1019]) ).

thf(1065,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1019]) ).

thf(1066,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1020]) ).

thf(1067,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1020]) ).

thf(1068,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV150: $i] :
              ( ( SV116 @ SV150 )
              = ( SV114 @ SV150 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1022]) ).

thf(1069,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1022]) ).

thf(1070,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1023]) ).

thf(1071,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1023]) ).

thf(1072,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV151: $i] :
              ( ( SV116 @ SV151 )
              = ( SV114 @ SV151 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1025]) ).

thf(1073,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1025]) ).

thf(1074,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1026]) ).

thf(1075,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1026]) ).

thf(1076,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1027]) ).

thf(1077,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1028]) ).

thf(1078,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1029]) ).

thf(1079,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV152 )
          = ( SV114 @ SV152 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1030]) ).

thf(1080,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV153: $i] :
              ( ( SV116 @ SV153 )
              = ( SV114 @ SV153 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1032]) ).

thf(1081,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1032]) ).

thf(1082,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1033]) ).

thf(1083,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1033]) ).

thf(1084,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV154: $i] :
              ( ( SV116 @ SV154 )
              = ( SV114 @ SV154 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1035]) ).

thf(1085,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1035]) ).

thf(1086,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1036]) ).

thf(1087,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1036]) ).

thf(1088,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1037]) ).

thf(1089,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1038]) ).

thf(1090,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1039]) ).

thf(1091,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV155 )
          = ( SV114 @ SV155 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1040]) ).

thf(1092,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV156: $i] :
              ( ( SV116 @ SV156 )
              = ( SV114 @ SV156 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1042]) ).

thf(1093,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1042]) ).

thf(1094,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1043]) ).

thf(1095,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1043]) ).

thf(1096,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1044]) ).

thf(1097,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1045]) ).

thf(1098,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1046]) ).

thf(1099,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV157 )
          = ( SV114 @ SV157 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1047]) ).

thf(1100,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV158: $i] :
              ( ( SV116 @ SV158 )
              = ( SV114 @ SV158 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1049]) ).

thf(1101,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1049]) ).

thf(1102,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
              | ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1050]) ).

thf(1103,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
              | ~ ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1050]) ).

thf(1104,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV159 )
          = ( SV114 @ SV159 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1052]) ).

thf(1105,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1054]) ).

thf(1106,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1055]) ).

thf(1107,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV160 )
          = ( SV114 @ SV160 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1056]) ).

thf(1108,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1058]) ).

thf(1109,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1059]) ).

thf(1110,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV161 )
          = ( SV114 @ SV161 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1060]) ).

thf(1111,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1062]) ).

thf(1112,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1063]) ).

thf(1113,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV162 )
          = ( SV114 @ SV162 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1064]) ).

thf(1114,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1066]) ).

thf(1115,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1067]) ).

thf(1116,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV163 )
          = ( SV114 @ SV163 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1068]) ).

thf(1117,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1070]) ).

thf(1118,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1071]) ).

thf(1119,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV164 )
          = ( SV114 @ SV164 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1072]) ).

thf(1120,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV116 = SV114 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1073]) ).

thf(1121,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1074]) ).

thf(1122,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1075]) ).

thf(1123,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1077]) ).

thf(1124,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1078]) ).

thf(1125,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV165: $i] :
              ( ( SV116 @ SV152 @ SV165 )
              = ( SV114 @ SV152 @ SV165 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1079]) ).

thf(1126,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV152 )
          = ( SV114 @ SV152 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1079]) ).

thf(1127,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV166 )
          = ( SV114 @ SV166 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1080]) ).

thf(1128,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1082]) ).

thf(1129,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1083]) ).

thf(1130,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV167 )
          = ( SV114 @ SV167 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1084]) ).

thf(1131,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV116 = SV114 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1085]) ).

thf(1132,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1086]) ).

thf(1133,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1087]) ).

thf(1134,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1089]) ).

thf(1135,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1090]) ).

thf(1136,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV168: $i] :
              ( ( SV116 @ SV155 @ SV168 )
              = ( SV114 @ SV155 @ SV168 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1091]) ).

thf(1137,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV155 )
          = ( SV114 @ SV155 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1091]) ).

thf(1138,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV169 )
          = ( SV114 @ SV169 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1092]) ).

thf(1139,plain,
    ! [SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV116 = SV114 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1093]) ).

thf(1140,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1094]) ).

thf(1141,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1095]) ).

thf(1142,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1097]) ).

thf(1143,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1098]) ).

thf(1144,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV170: $i] :
              ( ( SV116 @ SV157 @ SV170 )
              = ( SV114 @ SV157 @ SV170 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1099]) ).

thf(1145,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV157 )
          = ( SV114 @ SV157 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1099]) ).

thf(1146,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV171 )
          = ( SV114 @ SV171 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1100]) ).

thf(1147,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
          | ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1102]) ).

thf(1148,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
          | ~ ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1103]) ).

thf(1149,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV172: $i] :
              ( ( SV116 @ SV159 @ SV172 )
              = ( SV114 @ SV159 @ SV172 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1104]) ).

thf(1150,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV159 )
          = ( SV114 @ SV159 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1104]) ).

thf(1151,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1105]) ).

thf(1152,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1106]) ).

thf(1153,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV173: $i] :
              ( ( SV116 @ SV160 @ SV173 )
              = ( SV114 @ SV160 @ SV173 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1107]) ).

thf(1154,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV160 )
          = ( SV114 @ SV160 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1107]) ).

thf(1155,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1108]) ).

thf(1156,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1109]) ).

thf(1157,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV174: $i] :
              ( ( SV116 @ SV161 @ SV174 )
              = ( SV114 @ SV161 @ SV174 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1110]) ).

thf(1158,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV161 )
          = ( SV114 @ SV161 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1110]) ).

thf(1159,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1111]) ).

thf(1160,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1112]) ).

thf(1161,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV175: $i] :
              ( ( SV116 @ SV162 @ SV175 )
              = ( SV114 @ SV162 @ SV175 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1113]) ).

thf(1162,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV162 )
          = ( SV114 @ SV162 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1113]) ).

thf(1163,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1114]) ).

thf(1164,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1115]) ).

thf(1165,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV176: $i] :
              ( ( SV116 @ SV163 @ SV176 )
              = ( SV114 @ SV163 @ SV176 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1116]) ).

thf(1166,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV163 )
          = ( SV114 @ SV163 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1116]) ).

thf(1167,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1117]) ).

thf(1168,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1118]) ).

thf(1169,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV177: $i] :
              ( ( SV116 @ SV164 @ SV177 )
              = ( SV114 @ SV164 @ SV177 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1119]) ).

thf(1170,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV164 )
          = ( SV114 @ SV164 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1119]) ).

thf(1171,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1121]) ).

thf(1172,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1122]) ).

thf(1173,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1124]) ).

thf(1174,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV178: $i,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV152 @ SV178 )
          = ( SV114 @ SV152 @ SV178 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1125]) ).

thf(1175,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV179: $i] :
              ( ( SV116 @ SV166 @ SV179 )
              = ( SV114 @ SV166 @ SV179 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1127]) ).

thf(1176,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV166 )
          = ( SV114 @ SV166 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1127]) ).

thf(1177,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1128]) ).

thf(1178,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1129]) ).

thf(1179,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV180: $i] :
              ( ( SV116 @ SV167 @ SV180 )
              = ( SV114 @ SV167 @ SV180 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1130]) ).

thf(1180,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV167 )
          = ( SV114 @ SV167 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1130]) ).

thf(1181,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1132]) ).

thf(1182,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1133]) ).

thf(1183,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1135]) ).

thf(1184,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV181: $i,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV155 @ SV181 )
          = ( SV114 @ SV155 @ SV181 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1136]) ).

thf(1185,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV182: $i] :
              ( ( SV116 @ SV169 @ SV182 )
              = ( SV114 @ SV169 @ SV182 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1138]) ).

thf(1186,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV169 )
          = ( SV114 @ SV169 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1138]) ).

thf(1187,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1140]) ).

thf(1188,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1141]) ).

thf(1189,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1143]) ).

thf(1190,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV183: $i,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV157 @ SV183 )
          = ( SV114 @ SV157 @ SV183 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1144]) ).

thf(1191,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV184: $i] :
              ( ( SV116 @ SV171 @ SV184 )
              = ( SV114 @ SV171 @ SV184 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1146]) ).

thf(1192,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV171 )
          = ( SV114 @ SV171 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1146]) ).

thf(1193,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1147]) ).

thf(1194,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1148]) ).

thf(1195,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV185: $i,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV159 @ SV185 )
          = ( SV114 @ SV159 @ SV185 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1149]) ).

thf(1196,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1152]) ).

thf(1197,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV186: $i,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV160 @ SV186 )
          = ( SV114 @ SV160 @ SV186 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1153]) ).

thf(1198,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1156]) ).

thf(1199,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV187: $i,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV161 @ SV187 )
          = ( SV114 @ SV161 @ SV187 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1157]) ).

thf(1200,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1160]) ).

thf(1201,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV188: $i,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV162 @ SV188 )
          = ( SV114 @ SV162 @ SV188 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1161]) ).

thf(1202,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1164]) ).

thf(1203,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV189: $i,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV163 @ SV189 )
          = ( SV114 @ SV163 @ SV189 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1165]) ).

thf(1204,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1168]) ).

thf(1205,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV190: $i,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV164 @ SV190 )
          = ( SV114 @ SV164 @ SV190 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1169]) ).

thf(1206,plain,
    ! [SV164: $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV116 @ SV164 )
          = ( SV114 @ SV164 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1170]) ).

thf(1207,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1171]) ).

thf(1208,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1172]) ).

thf(1209,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK2_SV117 @ SV114 @ SV116 ) @ ( sK15_SV130 @ SV114 @ SV116 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1173]) ).

thf(1210,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV178: $i,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV152 @ SV178 )
              | ( SV114 @ SV152 @ SV178 ) )
          | ~ ( ~ ( SV116 @ SV152 @ SV178 )
              | ~ ( SV114 @ SV152 @ SV178 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1174]) ).

thf(1211,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV178: $i,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV152 @ SV178 )
          = ( SV114 @ SV152 @ SV178 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1174]) ).

thf(1212,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV191: $i,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV166 @ SV191 )
          = ( SV114 @ SV166 @ SV191 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1175]) ).

thf(1213,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1178]) ).

thf(1214,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV192: $i,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV167 @ SV192 )
          = ( SV114 @ SV167 @ SV192 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1179]) ).

thf(1215,plain,
    ! [SV167: $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV116 @ SV167 )
          = ( SV114 @ SV167 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1180]) ).

thf(1216,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1181]) ).

thf(1217,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1182]) ).

thf(1218,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK3_SV118 @ SV114 @ SV116 ) @ ( sK16_SV131 @ SV114 @ SV116 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1183]) ).

thf(1219,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV181: $i,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV155 @ SV181 )
              | ( SV114 @ SV155 @ SV181 ) )
          | ~ ( ~ ( SV116 @ SV155 @ SV181 )
              | ~ ( SV114 @ SV155 @ SV181 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1184]) ).

thf(1220,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV181: $i,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV155 @ SV181 )
          = ( SV114 @ SV155 @ SV181 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1184]) ).

thf(1221,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV193: $i,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV169 @ SV193 )
          = ( SV114 @ SV169 @ SV193 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1185]) ).

thf(1222,plain,
    ! [SV169: $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV116 @ SV169 )
          = ( SV114 @ SV169 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1186]) ).

thf(1223,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
        = $true )
      | ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1187]) ).

thf(1224,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1188]) ).

thf(1225,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK4_SV119 @ SV114 @ SV116 ) @ ( sK17_SV132 @ SV114 @ SV116 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1189]) ).

thf(1226,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV183: $i,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV157 @ SV183 )
              | ( SV114 @ SV157 @ SV183 ) )
          | ~ ( ~ ( SV116 @ SV157 @ SV183 )
              | ~ ( SV114 @ SV157 @ SV183 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1190]) ).

thf(1227,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV183: $i,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV157 @ SV183 )
          = ( SV114 @ SV157 @ SV183 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1190]) ).

thf(1228,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV194: $i,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV171 @ SV194 )
          = ( SV114 @ SV171 @ SV194 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1191]) ).

thf(1229,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1194]) ).

thf(1230,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV185: $i,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV159 @ SV185 )
              | ( SV114 @ SV159 @ SV185 ) )
          | ~ ( ~ ( SV116 @ SV159 @ SV185 )
              | ~ ( SV114 @ SV159 @ SV185 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1195]) ).

thf(1231,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV185: $i,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV159 @ SV185 )
          = ( SV114 @ SV159 @ SV185 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1195]) ).

thf(1232,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK5_SV120 @ SV114 @ SV116 ) @ ( sK18_SV133 @ SV114 @ SV116 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1196]) ).

thf(1233,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV186: $i,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV160 @ SV186 )
              | ( SV114 @ SV160 @ SV186 ) )
          | ~ ( ~ ( SV116 @ SV160 @ SV186 )
              | ~ ( SV114 @ SV160 @ SV186 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1197]) ).

thf(1234,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV186: $i,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV160 @ SV186 )
          = ( SV114 @ SV160 @ SV186 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1197]) ).

thf(1235,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK6_SV121 @ SV114 @ SV116 ) @ ( sK19_SV134 @ SV114 @ SV116 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1198]) ).

thf(1236,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV187: $i,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV161 @ SV187 )
              | ( SV114 @ SV161 @ SV187 ) )
          | ~ ( ~ ( SV116 @ SV161 @ SV187 )
              | ~ ( SV114 @ SV161 @ SV187 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1199]) ).

thf(1237,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV187: $i,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV161 @ SV187 )
          = ( SV114 @ SV161 @ SV187 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1199]) ).

thf(1238,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK7_SV122 @ SV114 @ SV116 ) @ ( sK20_SV135 @ SV114 @ SV116 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1200]) ).

thf(1239,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV188: $i,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV162 @ SV188 )
              | ( SV114 @ SV162 @ SV188 ) )
          | ~ ( ~ ( SV116 @ SV162 @ SV188 )
              | ~ ( SV114 @ SV162 @ SV188 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1201]) ).

thf(1240,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV188: $i,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV162 @ SV188 )
          = ( SV114 @ SV162 @ SV188 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1201]) ).

thf(1241,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK8_SV123 @ SV114 @ SV116 ) @ ( sK21_SV136 @ SV114 @ SV116 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1202]) ).

thf(1242,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV189: $i,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV163 @ SV189 )
              | ( SV114 @ SV163 @ SV189 ) )
          | ~ ( ~ ( SV116 @ SV163 @ SV189 )
              | ~ ( SV114 @ SV163 @ SV189 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1203]) ).

thf(1243,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV189: $i,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV163 @ SV189 )
          = ( SV114 @ SV163 @ SV189 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1203]) ).

thf(1244,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK9_SV124 @ SV114 @ SV116 ) @ ( sK22_SV137 @ SV114 @ SV116 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1204]) ).

thf(1245,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV190: $i,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV164 @ SV190 )
              | ( SV114 @ SV164 @ SV190 ) )
          | ~ ( ~ ( SV116 @ SV164 @ SV190 )
              | ~ ( SV114 @ SV164 @ SV190 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1205]) ).

thf(1246,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV190: $i,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV164 @ SV190 )
          = ( SV114 @ SV164 @ SV190 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1205]) ).

thf(1247,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1208]) ).

thf(1248,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV178: $i,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV152 @ SV178 )
              | ( SV114 @ SV152 @ SV178 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV152 @ SV178 )
              | ~ ( SV114 @ SV152 @ SV178 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1210]) ).

thf(1249,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV191: $i,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV166 @ SV191 )
              | ( SV114 @ SV166 @ SV191 ) )
          | ~ ( ~ ( SV116 @ SV166 @ SV191 )
              | ~ ( SV114 @ SV166 @ SV191 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1212]) ).

thf(1250,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV191: $i,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV166 @ SV191 )
          = ( SV114 @ SV166 @ SV191 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1212]) ).

thf(1251,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK11_SV126 @ SV114 @ SV116 ) @ ( sK24_SV139 @ SV114 @ SV116 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1213]) ).

thf(1252,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV192: $i,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV167 @ SV192 )
              | ( SV114 @ SV167 @ SV192 ) )
          | ~ ( ~ ( SV116 @ SV167 @ SV192 )
              | ~ ( SV114 @ SV167 @ SV192 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1214]) ).

thf(1253,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV192: $i,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV167 @ SV192 )
          = ( SV114 @ SV167 @ SV192 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1214]) ).

thf(1254,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1217]) ).

thf(1255,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV181: $i,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV155 @ SV181 )
              | ( SV114 @ SV155 @ SV181 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV155 @ SV181 )
              | ~ ( SV114 @ SV155 @ SV181 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1219]) ).

thf(1256,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV193: $i,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV169 @ SV193 )
              | ( SV114 @ SV169 @ SV193 ) )
          | ~ ( ~ ( SV116 @ SV169 @ SV193 )
              | ~ ( SV114 @ SV169 @ SV193 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1221]) ).

thf(1257,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV193: $i,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV169 @ SV193 )
          = ( SV114 @ SV169 @ SV193 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1221]) ).

thf(1258,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1224]) ).

thf(1259,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV183: $i,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV157 @ SV183 )
              | ( SV114 @ SV157 @ SV183 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV157 @ SV183 )
              | ~ ( SV114 @ SV157 @ SV183 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1226]) ).

thf(1260,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV194: $i,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV171 @ SV194 )
              | ( SV114 @ SV171 @ SV194 ) )
          | ~ ( ~ ( SV116 @ SV171 @ SV194 )
              | ~ ( SV114 @ SV171 @ SV194 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1228]) ).

thf(1261,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV194: $i,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV171 @ SV194 )
          = ( SV114 @ SV171 @ SV194 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1228]) ).

thf(1262,plain,
    ! [SV116: $i > $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK14_SV129 @ SV114 @ SV116 ) @ ( sK27_SV142 @ SV114 @ SV116 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1229]) ).

thf(1263,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV185: $i,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV159 @ SV185 )
              | ( SV114 @ SV159 @ SV185 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV159 @ SV185 )
              | ~ ( SV114 @ SV159 @ SV185 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1230]) ).

thf(1264,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV186: $i,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV160 @ SV186 )
              | ( SV114 @ SV160 @ SV186 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV160 @ SV186 )
              | ~ ( SV114 @ SV160 @ SV186 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1233]) ).

thf(1265,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV187: $i,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV161 @ SV187 )
              | ( SV114 @ SV161 @ SV187 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV161 @ SV187 )
              | ~ ( SV114 @ SV161 @ SV187 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1236]) ).

thf(1266,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV188: $i,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV162 @ SV188 )
              | ( SV114 @ SV162 @ SV188 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV162 @ SV188 )
              | ~ ( SV114 @ SV162 @ SV188 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1239]) ).

thf(1267,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV189: $i,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV163 @ SV189 )
              | ( SV114 @ SV163 @ SV189 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV163 @ SV189 )
              | ~ ( SV114 @ SV163 @ SV189 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1242]) ).

thf(1268,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV190: $i,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV164 @ SV190 )
              | ( SV114 @ SV164 @ SV190 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV164 @ SV190 )
              | ~ ( SV114 @ SV164 @ SV190 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1245]) ).

thf(1269,plain,
    ! [SV190: $i,SV164: $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV116 @ SV164 @ SV190 )
          = ( SV114 @ SV164 @ SV190 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1246]) ).

thf(1270,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV114 @ ( sK10_SV125 @ SV114 @ SV116 ) @ ( sK23_SV138 @ SV114 @ SV116 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1247]) ).

thf(1271,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV178: $i,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV152 @ SV178 )
          | ( SV114 @ SV152 @ SV178 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV152 @ SV178 )
              | ~ ( SV114 @ SV152 @ SV178 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1248]) ).

thf(1272,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV191: $i,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV166 @ SV191 )
              | ( SV114 @ SV166 @ SV191 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV166 @ SV191 )
              | ~ ( SV114 @ SV166 @ SV191 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1249]) ).

thf(1273,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV192: $i,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV167 @ SV192 )
              | ( SV114 @ SV167 @ SV192 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV167 @ SV192 )
              | ~ ( SV114 @ SV167 @ SV192 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1252]) ).

thf(1274,plain,
    ! [SV192: $i,SV167: $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV116 @ SV167 @ SV192 )
          = ( SV114 @ SV167 @ SV192 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1253]) ).

thf(1275,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV116 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV114 @ ( sK12_SV127 @ SV114 @ SV116 ) @ ( sK25_SV140 @ SV114 @ SV116 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1254]) ).

thf(1276,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV181: $i,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV155 @ SV181 )
          | ( SV114 @ SV155 @ SV181 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV155 @ SV181 )
              | ~ ( SV114 @ SV155 @ SV181 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1255]) ).

thf(1277,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV193: $i,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV169 @ SV193 )
              | ( SV114 @ SV169 @ SV193 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV169 @ SV193 )
              | ~ ( SV114 @ SV169 @ SV193 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1256]) ).

thf(1278,plain,
    ! [SV193: $i,SV169: $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV116 @ SV169 @ SV193 )
          = ( SV114 @ SV169 @ SV193 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1257]) ).

thf(1279,plain,
    ! [SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV116 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
        = $false )
      | ( ( SV114 @ ( sK13_SV128 @ SV114 @ SV116 ) @ ( sK26_SV141 @ SV114 @ SV116 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1258]) ).

thf(1280,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV183: $i,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV157 @ SV183 )
          | ( SV114 @ SV157 @ SV183 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV157 @ SV183 )
              | ~ ( SV114 @ SV157 @ SV183 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1259]) ).

thf(1281,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV194: $i,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV171 @ SV194 )
              | ( SV114 @ SV171 @ SV194 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV171 @ SV194 )
              | ~ ( SV114 @ SV171 @ SV194 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1260]) ).

thf(1282,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV185: $i,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV159 @ SV185 )
          | ( SV114 @ SV159 @ SV185 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV159 @ SV185 )
              | ~ ( SV114 @ SV159 @ SV185 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1263]) ).

thf(1283,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV186: $i,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV160 @ SV186 )
          | ( SV114 @ SV160 @ SV186 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV160 @ SV186 )
              | ~ ( SV114 @ SV160 @ SV186 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1264]) ).

thf(1284,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV187: $i,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV161 @ SV187 )
          | ( SV114 @ SV161 @ SV187 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV161 @ SV187 )
              | ~ ( SV114 @ SV161 @ SV187 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1265]) ).

thf(1285,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV188: $i,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV162 @ SV188 )
          | ( SV114 @ SV162 @ SV188 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV162 @ SV188 )
              | ~ ( SV114 @ SV162 @ SV188 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1266]) ).

thf(1286,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV189: $i,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV163 @ SV189 )
          | ( SV114 @ SV163 @ SV189 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV163 @ SV189 )
              | ~ ( SV114 @ SV163 @ SV189 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1267]) ).

thf(1287,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV190: $i,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV164 @ SV190 )
          | ( SV114 @ SV164 @ SV190 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV164 @ SV190 )
              | ~ ( SV114 @ SV164 @ SV190 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1268]) ).

thf(1288,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV178: $i,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV152 @ SV178 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV152 @ SV178 )
              | ~ ( SV114 @ SV152 @ SV178 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1271]) ).

thf(1289,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV178: $i,SV152: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV152 @ SV178 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV152 @ SV178 )
              | ~ ( SV114 @ SV152 @ SV178 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1271]) ).

thf(1290,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV191: $i,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV166 @ SV191 )
          | ( SV114 @ SV166 @ SV191 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV166 @ SV191 )
              | ~ ( SV114 @ SV166 @ SV191 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1272]) ).

thf(1291,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV192: $i,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV167 @ SV192 )
          | ( SV114 @ SV167 @ SV192 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV167 @ SV192 )
              | ~ ( SV114 @ SV167 @ SV192 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1273]) ).

thf(1292,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV181: $i,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV155 @ SV181 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV155 @ SV181 )
              | ~ ( SV114 @ SV155 @ SV181 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1276]) ).

thf(1293,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV181: $i,SV155: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV155 @ SV181 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV155 @ SV181 )
              | ~ ( SV114 @ SV155 @ SV181 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1276]) ).

thf(1294,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV193: $i,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV169 @ SV193 )
          | ( SV114 @ SV169 @ SV193 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV169 @ SV193 )
              | ~ ( SV114 @ SV169 @ SV193 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1277]) ).

thf(1295,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV183: $i,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV157 @ SV183 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV157 @ SV183 )
              | ~ ( SV114 @ SV157 @ SV183 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1280]) ).

thf(1296,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV183: $i,SV157: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV157 @ SV183 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV157 @ SV183 )
              | ~ ( SV114 @ SV157 @ SV183 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1280]) ).

thf(1297,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV194: $i,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV171 @ SV194 )
          | ( SV114 @ SV171 @ SV194 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV171 @ SV194 )
              | ~ ( SV114 @ SV171 @ SV194 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1281]) ).

thf(1298,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV185: $i,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV159 @ SV185 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV159 @ SV185 )
              | ~ ( SV114 @ SV159 @ SV185 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1282]) ).

thf(1299,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV185: $i,SV159: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV159 @ SV185 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV159 @ SV185 )
              | ~ ( SV114 @ SV159 @ SV185 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1282]) ).

thf(1300,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV186: $i,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV160 @ SV186 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV160 @ SV186 )
              | ~ ( SV114 @ SV160 @ SV186 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1283]) ).

thf(1301,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV186: $i,SV160: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV160 @ SV186 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV160 @ SV186 )
              | ~ ( SV114 @ SV160 @ SV186 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1283]) ).

thf(1302,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV187: $i,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV161 @ SV187 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV161 @ SV187 )
              | ~ ( SV114 @ SV161 @ SV187 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1284]) ).

thf(1303,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV187: $i,SV161: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV161 @ SV187 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV161 @ SV187 )
              | ~ ( SV114 @ SV161 @ SV187 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1284]) ).

thf(1304,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV188: $i,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV162 @ SV188 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV162 @ SV188 )
              | ~ ( SV114 @ SV162 @ SV188 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1285]) ).

thf(1305,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV188: $i,SV162: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV162 @ SV188 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV162 @ SV188 )
              | ~ ( SV114 @ SV162 @ SV188 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1285]) ).

thf(1306,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV189: $i,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV163 @ SV189 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV163 @ SV189 )
              | ~ ( SV114 @ SV163 @ SV189 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1286]) ).

thf(1307,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV189: $i,SV163: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV163 @ SV189 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV163 @ SV189 )
              | ~ ( SV114 @ SV163 @ SV189 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1286]) ).

thf(1308,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV190: $i,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV164 @ SV190 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV164 @ SV190 )
              | ~ ( SV114 @ SV164 @ SV190 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1287]) ).

thf(1309,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV190: $i,SV164: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV164 @ SV190 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV164 @ SV190 )
              | ~ ( SV114 @ SV164 @ SV190 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1287]) ).

thf(1310,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV178: $i,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV152 @ SV178 )
          | ~ ( SV114 @ SV152 @ SV178 ) )
        = $false )
      | ( ( SV116 @ SV152 @ SV178 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1288]) ).

thf(1311,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV178: $i,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV152 @ SV178 )
          | ~ ( SV114 @ SV152 @ SV178 ) )
        = $false )
      | ( ( SV114 @ SV152 @ SV178 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1289]) ).

thf(1312,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV191: $i,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV166 @ SV191 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV166 @ SV191 )
              | ~ ( SV114 @ SV166 @ SV191 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1290]) ).

thf(1313,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV191: $i,SV166: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV166 @ SV191 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV166 @ SV191 )
              | ~ ( SV114 @ SV166 @ SV191 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1290]) ).

thf(1314,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV192: $i,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV167 @ SV192 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV167 @ SV192 )
              | ~ ( SV114 @ SV167 @ SV192 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1291]) ).

thf(1315,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV192: $i,SV167: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV167 @ SV192 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV167 @ SV192 )
              | ~ ( SV114 @ SV167 @ SV192 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1291]) ).

thf(1316,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV181: $i,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV155 @ SV181 )
          | ~ ( SV114 @ SV155 @ SV181 ) )
        = $false )
      | ( ( SV116 @ SV155 @ SV181 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1292]) ).

thf(1317,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV181: $i,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV155 @ SV181 )
          | ~ ( SV114 @ SV155 @ SV181 ) )
        = $false )
      | ( ( SV114 @ SV155 @ SV181 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1293]) ).

thf(1318,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV193: $i,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV169 @ SV193 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV169 @ SV193 )
              | ~ ( SV114 @ SV169 @ SV193 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1294]) ).

thf(1319,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV193: $i,SV169: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV169 @ SV193 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV169 @ SV193 )
              | ~ ( SV114 @ SV169 @ SV193 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1294]) ).

thf(1320,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV183: $i,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV157 @ SV183 )
          | ~ ( SV114 @ SV157 @ SV183 ) )
        = $false )
      | ( ( SV116 @ SV157 @ SV183 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1295]) ).

thf(1321,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV183: $i,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV157 @ SV183 )
          | ~ ( SV114 @ SV157 @ SV183 ) )
        = $false )
      | ( ( SV114 @ SV157 @ SV183 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1296]) ).

thf(1322,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV194: $i,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV171 @ SV194 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV171 @ SV194 )
              | ~ ( SV114 @ SV171 @ SV194 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1297]) ).

thf(1323,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV194: $i,SV171: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV171 @ SV194 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV171 @ SV194 )
              | ~ ( SV114 @ SV171 @ SV194 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1297]) ).

thf(1324,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV185: $i,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV159 @ SV185 )
          | ~ ( SV114 @ SV159 @ SV185 ) )
        = $false )
      | ( ( SV116 @ SV159 @ SV185 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1298]) ).

thf(1325,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV185: $i,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV159 @ SV185 )
          | ~ ( SV114 @ SV159 @ SV185 ) )
        = $false )
      | ( ( SV114 @ SV159 @ SV185 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1299]) ).

thf(1326,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV186: $i,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV160 @ SV186 )
          | ~ ( SV114 @ SV160 @ SV186 ) )
        = $false )
      | ( ( SV116 @ SV160 @ SV186 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1300]) ).

thf(1327,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV186: $i,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV160 @ SV186 )
          | ~ ( SV114 @ SV160 @ SV186 ) )
        = $false )
      | ( ( SV114 @ SV160 @ SV186 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1301]) ).

thf(1328,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV187: $i,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV161 @ SV187 )
          | ~ ( SV114 @ SV161 @ SV187 ) )
        = $false )
      | ( ( SV116 @ SV161 @ SV187 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1302]) ).

thf(1329,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV187: $i,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV161 @ SV187 )
          | ~ ( SV114 @ SV161 @ SV187 ) )
        = $false )
      | ( ( SV114 @ SV161 @ SV187 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1303]) ).

thf(1330,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV188: $i,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV162 @ SV188 )
          | ~ ( SV114 @ SV162 @ SV188 ) )
        = $false )
      | ( ( SV116 @ SV162 @ SV188 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1304]) ).

thf(1331,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV188: $i,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV162 @ SV188 )
          | ~ ( SV114 @ SV162 @ SV188 ) )
        = $false )
      | ( ( SV114 @ SV162 @ SV188 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1305]) ).

thf(1332,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV189: $i,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV163 @ SV189 )
          | ~ ( SV114 @ SV163 @ SV189 ) )
        = $false )
      | ( ( SV116 @ SV163 @ SV189 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1306]) ).

thf(1333,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV189: $i,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV163 @ SV189 )
          | ~ ( SV114 @ SV163 @ SV189 ) )
        = $false )
      | ( ( SV114 @ SV163 @ SV189 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1307]) ).

thf(1334,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV190: $i,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV164 @ SV190 )
          | ~ ( SV114 @ SV164 @ SV190 ) )
        = $false )
      | ( ( SV116 @ SV164 @ SV190 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1308]) ).

thf(1335,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV190: $i,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV164 @ SV190 )
          | ~ ( SV114 @ SV164 @ SV190 ) )
        = $false )
      | ( ( SV114 @ SV164 @ SV190 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1309]) ).

thf(1337,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV178: $i,SV152: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV152 @ SV178 ) )
        = $false )
      | ( ( SV116 @ SV152 @ SV178 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1310]) ).

thf(1338,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV178: $i,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV152 @ SV178 ) )
        = $false )
      | ( ( SV114 @ SV152 @ SV178 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1311]) ).

thf(1340,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV191: $i,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV166 @ SV191 )
          | ~ ( SV114 @ SV166 @ SV191 ) )
        = $false )
      | ( ( SV116 @ SV166 @ SV191 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1312]) ).

thf(1341,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV191: $i,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV166 @ SV191 )
          | ~ ( SV114 @ SV166 @ SV191 ) )
        = $false )
      | ( ( SV114 @ SV166 @ SV191 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1313]) ).

thf(1342,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV192: $i,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV167 @ SV192 )
          | ~ ( SV114 @ SV167 @ SV192 ) )
        = $false )
      | ( ( SV116 @ SV167 @ SV192 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1314]) ).

thf(1343,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV192: $i,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV167 @ SV192 )
          | ~ ( SV114 @ SV167 @ SV192 ) )
        = $false )
      | ( ( SV114 @ SV167 @ SV192 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1315]) ).

thf(1345,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV181: $i,SV155: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV155 @ SV181 ) )
        = $false )
      | ( ( SV116 @ SV155 @ SV181 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1316]) ).

thf(1346,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV181: $i,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV155 @ SV181 ) )
        = $false )
      | ( ( SV114 @ SV155 @ SV181 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1317]) ).

thf(1348,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV193: $i,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV169 @ SV193 )
          | ~ ( SV114 @ SV169 @ SV193 ) )
        = $false )
      | ( ( SV116 @ SV169 @ SV193 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1318]) ).

thf(1349,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV193: $i,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV169 @ SV193 )
          | ~ ( SV114 @ SV169 @ SV193 ) )
        = $false )
      | ( ( SV114 @ SV169 @ SV193 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1319]) ).

thf(1351,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV183: $i,SV157: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV157 @ SV183 ) )
        = $false )
      | ( ( SV116 @ SV157 @ SV183 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1320]) ).

thf(1352,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV183: $i,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV157 @ SV183 ) )
        = $false )
      | ( ( SV114 @ SV157 @ SV183 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1321]) ).

thf(1354,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV194: $i,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV171 @ SV194 )
          | ~ ( SV114 @ SV171 @ SV194 ) )
        = $false )
      | ( ( SV116 @ SV171 @ SV194 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1322]) ).

thf(1355,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV194: $i,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV171 @ SV194 )
          | ~ ( SV114 @ SV171 @ SV194 ) )
        = $false )
      | ( ( SV114 @ SV171 @ SV194 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1323]) ).

thf(1357,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV185: $i,SV159: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV159 @ SV185 ) )
        = $false )
      | ( ( SV116 @ SV159 @ SV185 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1324]) ).

thf(1358,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV185: $i,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV159 @ SV185 ) )
        = $false )
      | ( ( SV114 @ SV159 @ SV185 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1325]) ).

thf(1361,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV186: $i,SV160: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV160 @ SV186 ) )
        = $false )
      | ( ( SV116 @ SV160 @ SV186 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1326]) ).

thf(1362,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV186: $i,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV160 @ SV186 ) )
        = $false )
      | ( ( SV114 @ SV160 @ SV186 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1327]) ).

thf(1365,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV187: $i,SV161: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV161 @ SV187 ) )
        = $false )
      | ( ( SV116 @ SV161 @ SV187 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1328]) ).

thf(1366,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV187: $i,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV161 @ SV187 ) )
        = $false )
      | ( ( SV114 @ SV161 @ SV187 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1329]) ).

thf(1369,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV188: $i,SV162: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV162 @ SV188 ) )
        = $false )
      | ( ( SV116 @ SV162 @ SV188 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1330]) ).

thf(1370,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV188: $i,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV162 @ SV188 ) )
        = $false )
      | ( ( SV114 @ SV162 @ SV188 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1331]) ).

thf(1373,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV189: $i,SV163: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV163 @ SV189 ) )
        = $false )
      | ( ( SV116 @ SV163 @ SV189 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1332]) ).

thf(1374,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV189: $i,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV163 @ SV189 ) )
        = $false )
      | ( ( SV114 @ SV163 @ SV189 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1333]) ).

thf(1377,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV190: $i,SV164: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV164 @ SV190 ) )
        = $false )
      | ( ( SV116 @ SV164 @ SV190 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1334]) ).

thf(1378,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV190: $i,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV164 @ SV190 ) )
        = $false )
      | ( ( SV114 @ SV164 @ SV190 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1335]) ).

thf(1381,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV178: $i,SV152: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV152 @ SV178 )
        = $true )
      | ( ( SV116 @ SV152 @ SV178 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1337]) ).

thf(1382,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV178: $i,SV152: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV152 @ SV178 )
        = $true )
      | ( ( SV114 @ SV152 @ SV178 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1338]) ).

thf(1385,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV191: $i,SV166: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV166 @ SV191 ) )
        = $false )
      | ( ( SV116 @ SV166 @ SV191 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1340]) ).

thf(1386,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV191: $i,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV166 @ SV191 ) )
        = $false )
      | ( ( SV114 @ SV166 @ SV191 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1341]) ).

thf(1389,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV192: $i,SV167: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV167 @ SV192 ) )
        = $false )
      | ( ( SV116 @ SV167 @ SV192 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1342]) ).

thf(1390,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV192: $i,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV167 @ SV192 ) )
        = $false )
      | ( ( SV114 @ SV167 @ SV192 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1343]) ).

thf(1393,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV181: $i,SV155: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV155 @ SV181 )
        = $true )
      | ( ( SV116 @ SV155 @ SV181 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1345]) ).

thf(1394,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV181: $i,SV155: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV155 @ SV181 )
        = $true )
      | ( ( SV114 @ SV155 @ SV181 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1346]) ).

thf(1397,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV193: $i,SV169: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV169 @ SV193 ) )
        = $false )
      | ( ( SV116 @ SV169 @ SV193 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1348]) ).

thf(1398,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV193: $i,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV169 @ SV193 ) )
        = $false )
      | ( ( SV114 @ SV169 @ SV193 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1349]) ).

thf(1401,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV183: $i,SV157: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV157 @ SV183 )
        = $true )
      | ( ( SV116 @ SV157 @ SV183 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1351]) ).

thf(1402,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV183: $i,SV157: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV157 @ SV183 )
        = $true )
      | ( ( SV114 @ SV157 @ SV183 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1352]) ).

thf(1405,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV194: $i,SV171: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV171 @ SV194 ) )
        = $false )
      | ( ( SV116 @ SV171 @ SV194 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1354]) ).

thf(1406,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV194: $i,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV171 @ SV194 ) )
        = $false )
      | ( ( SV114 @ SV171 @ SV194 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1355]) ).

thf(1409,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV185: $i,SV159: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV159 @ SV185 )
        = $true )
      | ( ( SV116 @ SV159 @ SV185 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1357]) ).

thf(1410,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV185: $i,SV159: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV159 @ SV185 )
        = $true )
      | ( ( SV114 @ SV159 @ SV185 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1358]) ).

thf(1413,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV186: $i,SV160: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV160 @ SV186 )
        = $true )
      | ( ( SV116 @ SV160 @ SV186 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1361]) ).

thf(1414,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV186: $i,SV160: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV160 @ SV186 )
        = $true )
      | ( ( SV114 @ SV160 @ SV186 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1362]) ).

thf(1417,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV187: $i,SV161: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV161 @ SV187 )
        = $true )
      | ( ( SV116 @ SV161 @ SV187 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1365]) ).

thf(1418,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV187: $i,SV161: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV161 @ SV187 )
        = $true )
      | ( ( SV114 @ SV161 @ SV187 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1366]) ).

thf(1421,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV188: $i,SV162: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV162 @ SV188 )
        = $true )
      | ( ( SV116 @ SV162 @ SV188 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1369]) ).

thf(1422,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV188: $i,SV162: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV162 @ SV188 )
        = $true )
      | ( ( SV114 @ SV162 @ SV188 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1370]) ).

thf(1425,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV189: $i,SV163: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV163 @ SV189 )
        = $true )
      | ( ( SV116 @ SV163 @ SV189 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1373]) ).

thf(1426,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV189: $i,SV163: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV163 @ SV189 )
        = $true )
      | ( ( SV114 @ SV163 @ SV189 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1374]) ).

thf(1429,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV190: $i,SV164: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV164 @ SV190 )
        = $true )
      | ( ( SV116 @ SV164 @ SV190 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1377]) ).

thf(1430,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV190: $i,SV164: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV164 @ SV190 )
        = $true )
      | ( ( SV114 @ SV164 @ SV190 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1378]) ).

thf(1433,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV191: $i,SV166: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV166 @ SV191 )
        = $true )
      | ( ( SV116 @ SV166 @ SV191 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1385]) ).

thf(1434,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV191: $i,SV166: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV166 @ SV191 )
        = $true )
      | ( ( SV114 @ SV166 @ SV191 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1386]) ).

thf(1437,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV192: $i,SV167: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV167 @ SV192 )
        = $true )
      | ( ( SV116 @ SV167 @ SV192 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1389]) ).

thf(1438,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV192: $i,SV167: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV167 @ SV192 )
        = $true )
      | ( ( SV114 @ SV167 @ SV192 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1390]) ).

thf(1441,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV193: $i,SV169: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV169 @ SV193 )
        = $true )
      | ( ( SV116 @ SV169 @ SV193 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1397]) ).

thf(1442,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV193: $i,SV169: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV169 @ SV193 )
        = $true )
      | ( ( SV114 @ SV169 @ SV193 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1398]) ).

thf(1445,plain,
    ! [SV115: $i,SV116: $i > $i > $o,SV194: $i,SV171: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV171 @ SV194 )
        = $true )
      | ( ( SV116 @ SV171 @ SV194 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1405]) ).

thf(1446,plain,
    ! [SV115: $i,SV114: $i > $i > $o,SV194: $i,SV171: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV171 @ SV194 )
        = $true )
      | ( ( SV114 @ SV171 @ SV194 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1406]) ).

thf(1449,plain,
    ! [SV190: $i,SV164: $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV164 @ SV190 )
        = $false )
      | ( ( SV114 @ SV164 @ SV190 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1429]) ).

thf(1450,plain,
    ! [SV190: $i,SV164: $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV164 @ SV190 )
        = $false )
      | ( ( SV116 @ SV164 @ SV190 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1430]) ).

thf(1453,plain,
    ! [SV192: $i,SV167: $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV167 @ SV192 )
        = $false )
      | ( ( SV114 @ SV167 @ SV192 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1437]) ).

thf(1454,plain,
    ! [SV192: $i,SV167: $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV167 @ SV192 )
        = $false )
      | ( ( SV116 @ SV167 @ SV192 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1438]) ).

thf(1457,plain,
    ! [SV193: $i,SV169: $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV169 @ SV193 )
        = $false )
      | ( ( SV114 @ SV169 @ SV193 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1441]) ).

thf(1458,plain,
    ! [SV193: $i,SV169: $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV169 @ SV193 )
        = $false )
      | ( ( SV116 @ SV169 @ SV193 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1442]) ).

thf(1460,plain,
    ! [SV195: $i,SV196: $i] :
      ( ( ( subProcess_THFTYPE_IiioI @ SV196 @ SV195 )
        = $false )
      | ( ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ SV196 ) @ ( lWhenFn_THFTYPE_IiiI @ SV195 ) )
        = $true ) ),
    inference(rename,[status(thm)],[337]) ).

thf(1515,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(rename,[status(thm)],[365]) ).

thf(1598,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,197]) ).

thf(1599,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,197]) ).

thf(1602,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,191]) ).

thf(1603,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,191]) ).

thf(1604,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,189]) ).

thf(1605,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,189]) ).

thf(1606,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,185]) ).

thf(1607,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,185]) ).

thf(1608,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,182]) ).

thf(1609,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,182]) ).

thf(1610,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,177]) ).

thf(1611,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,177]) ).

thf(1612,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,172]) ).

thf(1613,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,172]) ).

thf(1614,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,168]) ).

thf(1615,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,168]) ).

thf(1616,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,166]) ).

thf(1617,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,166]) ).

thf(1618,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,163]) ).

thf(1619,plain,
    ! [SV197: $o,SV198: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[1515,163]) ).

thf(1621,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1619:[bind(SV197,$thf( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1622,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[1618:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1623,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[1618:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1624,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1617:[bind(SV197,$thf( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1625,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[1616:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1626,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[1616:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1627,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1615:[bind(SV197,$thf( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1628,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[1614:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1629,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[1614:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1630,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1613:[bind(SV197,$thf( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1631,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[1612:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1632,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[1612:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1633,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1611:[bind(SV197,$thf( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1634,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[1610:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1635,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[1610:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1636,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1609:[bind(SV197,$thf( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1637,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1608:[bind(SV197,$thf( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1638,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1608:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1639,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1608:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1640,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1607:[bind(SV197,$thf( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1641,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[1606:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1642,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[1606:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1643,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1605:[bind(SV197,$thf( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1644,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1604:[bind(SV197,$thf( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1645,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1604:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1646,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1604:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1647,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1603:[bind(SV197,$thf( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1648,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1602:[bind(SV197,$thf( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1649,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1602:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1650,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1602:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1651,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[1599:[bind(SV197,$thf( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )),bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1652,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[1598:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1653,plain,
    ! [SV197: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[1598:[bind(SV198,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(1654,plain,
    ! [SV197: $o] :
      ( ( SV197 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1623]) ).

thf(1655,plain,
    ! [SV197: $o] :
      ( ( SV197 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1622]) ).

thf(1656,plain,
    ! [SV197: $o] :
      ( ( SV197 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1626]) ).

thf(1657,plain,
    ! [SV197: $o] :
      ( ( SV197 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1625]) ).

thf(1658,plain,
    ! [SV197: $o] :
      ( ( SV197 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1629]) ).

thf(1659,plain,
    ! [SV197: $o] :
      ( ( SV197 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1628]) ).

thf(1660,plain,
    ! [SV197: $o] :
      ( ( SV197 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1632]) ).

thf(1661,plain,
    ! [SV197: $o] :
      ( ( SV197 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1631]) ).

thf(1662,plain,
    ! [SV197: $o] :
      ( ( SV197 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1635]) ).

thf(1663,plain,
    ! [SV197: $o] :
      ( ( SV197 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1634]) ).

thf(1664,plain,
    ! [SV197: $o] :
      ( ( SV197 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1639]) ).

thf(1665,plain,
    ! [SV197: $o] :
      ( ( SV197 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1638]) ).

thf(1666,plain,
    ! [SV197: $o] :
      ( ( SV197 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1642]) ).

thf(1667,plain,
    ! [SV197: $o] :
      ( ( SV197 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1641]) ).

thf(1668,plain,
    ! [SV197: $o] :
      ( ( SV197 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1646]) ).

thf(1669,plain,
    ! [SV197: $o] :
      ( ( SV197 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1645]) ).

thf(1670,plain,
    ! [SV197: $o] :
      ( ( SV197 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1650]) ).

thf(1671,plain,
    ! [SV197: $o] :
      ( ( SV197 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1649]) ).

thf(1672,plain,
    ! [SV197: $o] :
      ( ( SV197 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1653]) ).

thf(1673,plain,
    ! [SV197: $o] :
      ( ( SV197 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1652]) ).

thf(1674,plain,
    ! [SV197: $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( SV197 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1664]) ).

thf(1675,plain,
    ! [SV197: $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( SV197 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1665]) ).

thf(1676,plain,
    ! [SV197: $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( SV197 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1668]) ).

thf(1677,plain,
    ! [SV197: $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( SV197 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1669]) ).

thf(1678,plain,
    ! [SV197: $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( SV197 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1670]) ).

thf(1679,plain,
    ! [SV197: $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV197 )
        = $false )
      | ( SV197 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1671]) ).

thf(1722,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_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)],[1621,197]) ).

thf(1724,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1621,191]) ).

thf(1725,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1621,189]) ).

thf(1726,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_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)],[1621,185]) ).

thf(1727,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1621,182]) ).

thf(1728,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_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)],[1621,177]) ).

thf(1729,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_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)],[1621,172]) ).

thf(1730,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_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)],[1621,168]) ).

thf(1731,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1621,166]) ).

thf(1735,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1731]) ).

thf(1736,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1731]) ).

thf(1737,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1730]) ).

thf(1738,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1730]) ).

thf(1739,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1729]) ).

thf(1740,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1729]) ).

thf(1741,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1728]) ).

thf(1742,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1728]) ).

thf(1743,plain,
    ( ( ( lBen_THFTYPE_i = lAnna_THFTYPE_i )
      = $false )
    | ( ( lMary_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1727]) ).

thf(1744,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1727]) ).

thf(1745,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1727]) ).

thf(1746,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[1727]) ).

thf(1747,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[1727]) ).

thf(1748,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1726]) ).

thf(1749,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1726]) ).

thf(1750,plain,
    ( ( lMary_THFTYPE_i = lBob_THFTYPE_i )
    = $false ),
    inference(extuni,[status(esa)],[1725]) ).

thf(1751,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1725]) ).

thf(1752,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1725]) ).

thf(1753,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[1725]) ).

thf(1754,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[1725]) ).

thf(1755,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1724]) ).

thf(1756,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1724]) ).

thf(1757,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[1724]) ).

thf(1758,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[1724]) ).

thf(1759,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1722]) ).

thf(1760,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1722]) ).

thf(1763,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1736]) ).

thf(1764,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1735]) ).

thf(1765,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1738]) ).

thf(1766,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1737]) ).

thf(1767,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1740]) ).

thf(1768,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1739]) ).

thf(1769,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1742]) ).

thf(1770,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1741]) ).

thf(1771,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1747]) ).

thf(1772,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1746]) ).

thf(1773,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1749]) ).

thf(1774,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1748]) ).

thf(1775,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1754]) ).

thf(1776,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1753]) ).

thf(1777,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1758]) ).

thf(1778,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1757]) ).

thf(1779,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1760]) ).

thf(1780,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1759]) ).

thf(1781,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1771]) ).

thf(1782,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1772]) ).

thf(1783,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1775]) ).

thf(1784,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1776]) ).

thf(1785,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1777]) ).

thf(1786,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1778]) ).

thf(1828,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)],[1624,197]) ).

thf(1830,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 @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1624,191]) ).

thf(1831,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 @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1624,189]) ).

thf(1832,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)],[1624,185]) ).

thf(1833,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 @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1624,182]) ).

thf(1834,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)],[1624,177]) ).

thf(1835,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)],[1624,172]) ).

thf(1836,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)],[1624,168]) ).

thf(1838,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)],[1624,163]) ).

thf(1839,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)],[1838]) ).

thf(1840,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)],[1838]) ).

thf(1843,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)],[1836]) ).

thf(1844,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)],[1836]) ).

thf(1845,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)],[1835]) ).

thf(1846,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)],[1835]) ).

thf(1847,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)],[1834]) ).

thf(1848,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)],[1834]) ).

thf(1849,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1833]) ).

thf(1850,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1833]) ).

thf(1851,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[1833]) ).

thf(1852,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[1833]) ).

thf(1853,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)],[1832]) ).

thf(1854,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)],[1832]) ).

thf(1855,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1831]) ).

thf(1856,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1831]) ).

thf(1857,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[1831]) ).

thf(1858,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[1831]) ).

thf(1859,plain,
    ( ( lBill_THFTYPE_i = lMary_THFTYPE_i )
    = $false ),
    inference(extuni,[status(esa)],[1830]) ).

thf(1860,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1830]) ).

thf(1861,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1830]) ).

thf(1862,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[1830]) ).

thf(1863,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[1830]) ).

thf(1864,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)],[1828]) ).

thf(1865,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)],[1828]) ).

thf(1866,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)],[1840]) ).

thf(1867,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)],[1839]) ).

thf(1870,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)],[1844]) ).

thf(1871,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)],[1843]) ).

thf(1872,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)],[1846]) ).

thf(1873,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)],[1845]) ).

thf(1874,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)],[1848]) ).

thf(1875,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)],[1847]) ).

thf(1876,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1852]) ).

thf(1877,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1851]) ).

thf(1878,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)],[1854]) ).

thf(1879,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)],[1853]) ).

thf(1880,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1858]) ).

thf(1881,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1857]) ).

thf(1882,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1863]) ).

thf(1883,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1862]) ).

thf(1884,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)],[1865]) ).

thf(1885,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)],[1864]) ).

thf(1886,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1876]) ).

thf(1887,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1877]) ).

thf(1888,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1880]) ).

thf(1889,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1881]) ).

thf(1890,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1882]) ).

thf(1891,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1883]) ).

thf(1933,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lMary_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)],[1627,197]) ).

thf(1935,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1627,191]) ).

thf(1936,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1627,189]) ).

thf(1937,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lMary_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)],[1627,185]) ).

thf(1938,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1627,182]) ).

thf(1939,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lMary_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)],[1627,177]) ).

thf(1940,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lMary_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)],[1627,172]) ).

thf(1942,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1627,166]) ).

thf(1943,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lMary_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)],[1627,163]) ).

thf(1944,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1943]) ).

thf(1945,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1943]) ).

thf(1946,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1942]) ).

thf(1947,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1942]) ).

thf(1950,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1940]) ).

thf(1951,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1940]) ).

thf(1952,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1939]) ).

thf(1953,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1939]) ).

thf(1954,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1938]) ).

thf(1955,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1938]) ).

thf(1956,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[1938]) ).

thf(1957,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[1938]) ).

thf(1958,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1937]) ).

thf(1959,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1937]) ).

thf(1960,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1936]) ).

thf(1961,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1936]) ).

thf(1962,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[1936]) ).

thf(1963,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[1936]) ).

thf(1964,plain,
    ( ( ( lBill_THFTYPE_i = lMary_THFTYPE_i )
      = $false )
    | ( ( lMary_THFTYPE_i = lSue_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1935]) ).

thf(1965,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1935]) ).

thf(1966,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1935]) ).

thf(1967,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[1935]) ).

thf(1968,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[1935]) ).

thf(1969,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[1933]) ).

thf(1970,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[1933]) ).

thf(1971,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1945]) ).

thf(1972,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1944]) ).

thf(1973,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1947]) ).

thf(1974,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1946]) ).

thf(1977,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1951]) ).

thf(1978,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1950]) ).

thf(1979,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1953]) ).

thf(1980,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1952]) ).

thf(1981,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1957]) ).

thf(1982,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1956]) ).

thf(1983,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1959]) ).

thf(1984,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1958]) ).

thf(1985,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1963]) ).

thf(1986,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1962]) ).

thf(1987,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1968]) ).

thf(1988,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1967]) ).

thf(1989,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1970]) ).

thf(1990,plain,
    ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1969]) ).

thf(1991,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1981]) ).

thf(1992,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1982]) ).

thf(1993,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1985]) ).

thf(1994,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1986]) ).

thf(1995,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1987]) ).

thf(1996,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1988]) ).

thf(2038,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_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)],[1630,197]) ).

thf(2040,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1630,191]) ).

thf(2041,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1630,189]) ).

thf(2042,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_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)],[1630,185]) ).

thf(2043,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1630,182]) ).

thf(2044,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_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)],[1630,177]) ).

thf(2046,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_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)],[1630,168]) ).

thf(2047,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1630,166]) ).

thf(2048,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_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)],[1630,163]) ).

thf(2049,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2048]) ).

thf(2050,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2048]) ).

thf(2051,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2047]) ).

thf(2052,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2047]) ).

thf(2053,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2046]) ).

thf(2054,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2046]) ).

thf(2057,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2044]) ).

thf(2058,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2044]) ).

thf(2059,plain,
    ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
    = $false ),
    inference(extuni,[status(esa)],[2043]) ).

thf(2060,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2043]) ).

thf(2061,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2043]) ).

thf(2062,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2043]) ).

thf(2063,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2043]) ).

thf(2064,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2042]) ).

thf(2065,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2042]) ).

thf(2066,plain,
    ( ( ( lAnna_THFTYPE_i = lBen_THFTYPE_i )
      = $false )
    | ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2041]) ).

thf(2067,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2041]) ).

thf(2068,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2041]) ).

thf(2069,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2041]) ).

thf(2070,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2041]) ).

thf(2071,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2040]) ).

thf(2072,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2040]) ).

thf(2073,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2040]) ).

thf(2074,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2040]) ).

thf(2075,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2038]) ).

thf(2076,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2038]) ).

thf(2077,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2050]) ).

thf(2078,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2049]) ).

thf(2079,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2052]) ).

thf(2080,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2051]) ).

thf(2081,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2054]) ).

thf(2082,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2053]) ).

thf(2085,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2058]) ).

thf(2086,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2057]) ).

thf(2087,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2063]) ).

thf(2088,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2062]) ).

thf(2089,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2065]) ).

thf(2090,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2064]) ).

thf(2091,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2070]) ).

thf(2092,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2069]) ).

thf(2093,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2074]) ).

thf(2094,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2073]) ).

thf(2095,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2076]) ).

thf(2096,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2075]) ).

thf(2097,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2087]) ).

thf(2098,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2088]) ).

thf(2099,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2091]) ).

thf(2100,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2092]) ).

thf(2101,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2093]) ).

thf(2102,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2094]) ).

thf(2145,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lBob_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)],[1633,197]) ).

thf(2147,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1633,191]) ).

thf(2148,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1633,189]) ).

thf(2149,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lBob_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)],[1633,185]) ).

thf(2150,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1633,182]) ).

thf(2152,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lBob_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)],[1633,172]) ).

thf(2153,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lBob_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)],[1633,168]) ).

thf(2154,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1633,166]) ).

thf(2155,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lBob_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)],[1633,163]) ).

thf(2156,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2155]) ).

thf(2157,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2155]) ).

thf(2158,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2154]) ).

thf(2159,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2154]) ).

thf(2160,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2153]) ).

thf(2161,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2153]) ).

thf(2162,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2152]) ).

thf(2163,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2152]) ).

thf(2166,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2150]) ).

thf(2167,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2150]) ).

thf(2168,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2150]) ).

thf(2169,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2150]) ).

thf(2170,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2149]) ).

thf(2171,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2149]) ).

thf(2172,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2148]) ).

thf(2173,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2148]) ).

thf(2174,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2148]) ).

thf(2175,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2148]) ).

thf(2176,plain,
    ( ( ( lBill_THFTYPE_i = lMary_THFTYPE_i )
      = $false )
    | ( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2147]) ).

thf(2177,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2147]) ).

thf(2178,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2147]) ).

thf(2179,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2147]) ).

thf(2180,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2147]) ).

thf(2181,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2145]) ).

thf(2182,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2145]) ).

thf(2183,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2157]) ).

thf(2184,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2156]) ).

thf(2185,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2159]) ).

thf(2186,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2158]) ).

thf(2187,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2161]) ).

thf(2188,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2160]) ).

thf(2189,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2163]) ).

thf(2190,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2162]) ).

thf(2193,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2169]) ).

thf(2194,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2168]) ).

thf(2195,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2171]) ).

thf(2196,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2170]) ).

thf(2197,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2175]) ).

thf(2198,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2174]) ).

thf(2199,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2180]) ).

thf(2200,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2179]) ).

thf(2201,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2182]) ).

thf(2202,plain,
    ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2181]) ).

thf(2203,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2193]) ).

thf(2204,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2194]) ).

thf(2205,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2197]) ).

thf(2206,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2198]) ).

thf(2207,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2199]) ).

thf(2208,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2200]) ).

thf(2250,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_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)],[1636,197]) ).

thf(2252,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1636,191]) ).

thf(2253,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1636,189]) ).

thf(2254,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_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)],[1636,185]) ).

thf(2256,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_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)],[1636,177]) ).

thf(2257,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_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)],[1636,172]) ).

thf(2258,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_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)],[1636,168]) ).

thf(2259,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1636,166]) ).

thf(2260,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_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)],[1636,163]) ).

thf(2261,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2260]) ).

thf(2262,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2260]) ).

thf(2263,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2259]) ).

thf(2264,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2259]) ).

thf(2265,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2258]) ).

thf(2266,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2258]) ).

thf(2267,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2257]) ).

thf(2268,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2257]) ).

thf(2269,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2256]) ).

thf(2270,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2256]) ).

thf(2275,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2254]) ).

thf(2276,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2254]) ).

thf(2277,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2253]) ).

thf(2278,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2253]) ).

thf(2279,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2253]) ).

thf(2280,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2253]) ).

thf(2281,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2252]) ).

thf(2282,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2252]) ).

thf(2283,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2252]) ).

thf(2284,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2252]) ).

thf(2285,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2250]) ).

thf(2286,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2250]) ).

thf(2287,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2262]) ).

thf(2288,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2261]) ).

thf(2289,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2264]) ).

thf(2290,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2263]) ).

thf(2291,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2266]) ).

thf(2292,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2265]) ).

thf(2293,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2268]) ).

thf(2294,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2267]) ).

thf(2295,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2270]) ).

thf(2296,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2269]) ).

thf(2301,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2276]) ).

thf(2302,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2275]) ).

thf(2303,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2280]) ).

thf(2304,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2279]) ).

thf(2305,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2278]) ).

thf(2306,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2277]) ).

thf(2307,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2284]) ).

thf(2308,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2283]) ).

thf(2309,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2282]) ).

thf(2310,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2281]) ).

thf(2311,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2286]) ).

thf(2312,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2285]) ).

thf(2313,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2287]) ).

thf(2314,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2288]) ).

thf(2315,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2289]) ).

thf(2316,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2290]) ).

thf(2317,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2291]) ).

thf(2318,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2292]) ).

thf(2319,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2293]) ).

thf(2320,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2294]) ).

thf(2321,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2295]) ).

thf(2322,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2296]) ).

thf(2325,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2301]) ).

thf(2326,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2302]) ).

thf(2327,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2303]) ).

thf(2328,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2304]) ).

thf(2329,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2307]) ).

thf(2330,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2308]) ).

thf(2331,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2311]) ).

thf(2332,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2312]) ).

thf(2335,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2327]) ).

thf(2336,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2328]) ).

thf(2337,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2329]) ).

thf(2338,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2330]) ).

thf(2380,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_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)],[1637,197]) ).

thf(2382,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1637,191]) ).

thf(2383,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1637,189]) ).

thf(2384,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_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)],[1637,185]) ).

thf(2386,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_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)],[1637,177]) ).

thf(2387,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_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)],[1637,172]) ).

thf(2388,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_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)],[1637,168]) ).

thf(2389,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1637,166]) ).

thf(2390,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_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)],[1637,163]) ).

thf(2391,plain,
    ( ( ( lAnna_THFTYPE_i = lBen_THFTYPE_i )
      = $false )
    | ( ( lBob_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2390]) ).

thf(2392,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2390]) ).

thf(2393,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2390]) ).

thf(2394,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2389]) ).

thf(2395,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2389]) ).

thf(2396,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2388]) ).

thf(2397,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2388]) ).

thf(2398,plain,
    ( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
    = $false ),
    inference(extuni,[status(esa)],[2387]) ).

thf(2399,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2387]) ).

thf(2400,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2387]) ).

thf(2401,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2386]) ).

thf(2402,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2386]) ).

thf(2405,plain,
    ( ( lBob_THFTYPE_i = lMary_THFTYPE_i )
    = $false ),
    inference(extuni,[status(esa)],[2384]) ).

thf(2406,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2384]) ).

thf(2407,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2384]) ).

thf(2408,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2383]) ).

thf(2409,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2383]) ).

thf(2410,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2382]) ).

thf(2411,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2382]) ).

thf(2412,plain,
    ( ( ( lAnna_THFTYPE_i = lBen_THFTYPE_i )
      = $false )
    | ( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2380]) ).

thf(2413,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2380]) ).

thf(2414,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2380]) ).

thf(2417,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2409]) ).

thf(2418,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2408]) ).

thf(2419,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2411]) ).

thf(2420,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2410]) ).

thf(2462,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_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)],[1640,197]) ).

thf(2464,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1640,191]) ).

thf(2465,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1640,189]) ).

thf(2467,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1640,182]) ).

thf(2468,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_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)],[1640,177]) ).

thf(2469,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_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)],[1640,172]) ).

thf(2470,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_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)],[1640,168]) ).

thf(2471,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1640,166]) ).

thf(2472,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_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)],[1640,163]) ).

thf(2473,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2472]) ).

thf(2474,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2472]) ).

thf(2475,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2471]) ).

thf(2476,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2471]) ).

thf(2477,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2470]) ).

thf(2478,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2470]) ).

thf(2479,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2469]) ).

thf(2480,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2469]) ).

thf(2481,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2468]) ).

thf(2482,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2468]) ).

thf(2484,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2467]) ).

thf(2485,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2467]) ).

thf(2486,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2467]) ).

thf(2487,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2467]) ).

thf(2490,plain,
    ( ( ( lAnna_THFTYPE_i = lBen_THFTYPE_i )
      = $false )
    | ( ( lMary_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2465]) ).

thf(2491,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2465]) ).

thf(2492,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2465]) ).

thf(2493,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2465]) ).

thf(2494,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2465]) ).

thf(2495,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2464]) ).

thf(2496,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2464]) ).

thf(2497,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2464]) ).

thf(2498,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2464]) ).

thf(2499,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2462]) ).

thf(2500,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2462]) ).

thf(2501,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2474]) ).

thf(2502,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2473]) ).

thf(2503,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2476]) ).

thf(2504,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2475]) ).

thf(2505,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2478]) ).

thf(2506,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2477]) ).

thf(2507,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2480]) ).

thf(2508,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2479]) ).

thf(2509,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2482]) ).

thf(2510,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2481]) ).

thf(2511,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2487]) ).

thf(2512,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2486]) ).

thf(2515,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2494]) ).

thf(2516,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2493]) ).

thf(2517,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2498]) ).

thf(2518,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2497]) ).

thf(2519,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2500]) ).

thf(2520,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2499]) ).

thf(2521,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2511]) ).

thf(2522,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2512]) ).

thf(2523,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2515]) ).

thf(2524,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2516]) ).

thf(2525,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2517]) ).

thf(2526,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2518]) ).

thf(2527,plain,
    ! [SV201: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV201 @ ( sK1_SY60 @ SV201 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV201 @ lOrganism_THFTYPE_i )
        = $false ) ),
    inference(rename,[status(thm)],[379]) ).

thf(2543,plain,
    ! [SV201: $i] :
      ( ( ( ( instance_THFTYPE_IiioI @ SV201 @ lOrganism_THFTYPE_i )
          = ( instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ SV201 @ ( sK1_SY60 @ SV201 ) )
        = $true ) ),
    inference(res,[status(thm)],[2527,241]) ).

thf(2548,plain,
    ! [SV201: $i] :
      ( ( ( ( instance_THFTYPE_IiioI @ SV201 @ lOrganism_THFTYPE_i )
          = ( instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ SV201 @ ( sK1_SY60 @ SV201 ) )
        = $true ) ),
    inference(res,[status(thm)],[2527,236]) ).

thf(2554,plain,
    ! [SV201: $i] :
      ( ( ( ( instance_THFTYPE_IiioI @ SV201 @ lOrganism_THFTYPE_i )
          = ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ SV201 @ ( sK1_SY60 @ SV201 ) )
        = $true ) ),
    inference(res,[status(thm)],[2527,230]) ).

thf(2559,plain,
    ! [SV201: $i] :
      ( ( ( ( instance_THFTYPE_IiioI @ SV201 @ lOrganism_THFTYPE_i )
          = ( instance_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lUnaryFunction_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ SV201 @ ( sK1_SY60 @ SV201 ) )
        = $true ) ),
    inference(res,[status(thm)],[2527,225]) ).

thf(2560,plain,
    ! [SV201: $i] :
      ( ( ( ( instance_THFTYPE_IiioI @ SV201 @ lOrganism_THFTYPE_i )
          = ( instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ SV201 @ ( sK1_SY60 @ SV201 ) )
        = $true ) ),
    inference(res,[status(thm)],[2527,224]) ).

thf(2565,plain,
    ! [SV201: $i] :
      ( ( ( ( instance_THFTYPE_IiioI @ SV201 @ lOrganism_THFTYPE_i )
          = ( instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ SV201 @ ( sK1_SY60 @ SV201 ) )
        = $true ) ),
    inference(res,[status(thm)],[2527,219]) ).

thf(2594,plain,
    ( ( ( parent_THFTYPE_IiioI @ equal_THFTYPE_i @ ( sK1_SY60 @ equal_THFTYPE_i ) )
      = $true )
    | ( ( lOrganism_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2565:[bind(SV201,$thf( equal_THFTYPE_i ))]]) ).

thf(2595,plain,
    ( ( ( parent_THFTYPE_IiioI @ attribute_THFTYPE_i @ ( sK1_SY60 @ attribute_THFTYPE_i ) )
      = $true )
    | ( ( lOrganism_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2560:[bind(SV201,$thf( attribute_THFTYPE_i ))]]) ).

thf(2596,plain,
    ( ( ( parent_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ ( sK1_SY60 @ lWhenFn_THFTYPE_i ) )
      = $true )
    | ( ( lOrganism_THFTYPE_i = lUnaryFunction_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2559:[bind(SV201,$thf( lWhenFn_THFTYPE_i ))]]) ).

thf(2597,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ ( sK1_SY60 @ lMeasureFn_THFTYPE_i ) )
      = $true )
    | ( ( lOrganism_THFTYPE_i = lTotalValuedRelation_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2554:[bind(SV201,$thf( lMeasureFn_THFTYPE_i ))]]) ).

thf(2598,plain,
    ( ( ( parent_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ ( sK1_SY60 @ lWhenFn_THFTYPE_i ) )
      = $true )
    | ( ( lOrganism_THFTYPE_i = lTotalValuedRelation_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2548:[bind(SV201,$thf( lWhenFn_THFTYPE_i ))]]) ).

thf(2599,plain,
    ( ( ( parent_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ ( sK1_SY60 @ lWhenFn_THFTYPE_i ) )
      = $true )
    | ( ( lOrganism_THFTYPE_i = lTemporalRelation_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2543:[bind(SV201,$thf( lWhenFn_THFTYPE_i ))]]) ).

thf(2642,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_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)],[1643,197]) ).

thf(2644,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1643,191]) ).

thf(2646,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_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)],[1643,185]) ).

thf(2647,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1643,182]) ).

thf(2648,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_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)],[1643,177]) ).

thf(2649,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_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)],[1643,172]) ).

thf(2650,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_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)],[1643,168]) ).

thf(2651,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1643,166]) ).

thf(2652,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_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)],[1643,163]) ).

thf(2653,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2652]) ).

thf(2654,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2652]) ).

thf(2655,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2651]) ).

thf(2656,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2651]) ).

thf(2657,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2650]) ).

thf(2658,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2650]) ).

thf(2659,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2649]) ).

thf(2660,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2649]) ).

thf(2661,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2648]) ).

thf(2662,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2648]) ).

thf(2663,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2647]) ).

thf(2664,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2647]) ).

thf(2665,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2647]) ).

thf(2666,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2647]) ).

thf(2667,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2646]) ).

thf(2668,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2646]) ).

thf(2673,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2644]) ).

thf(2674,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2644]) ).

thf(2675,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2644]) ).

thf(2676,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2644]) ).

thf(2677,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2642]) ).

thf(2678,plain,
    ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2642]) ).

thf(2679,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2654]) ).

thf(2680,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2653]) ).

thf(2681,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2656]) ).

thf(2682,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2655]) ).

thf(2683,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2658]) ).

thf(2684,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2657]) ).

thf(2685,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2660]) ).

thf(2686,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2659]) ).

thf(2687,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2662]) ).

thf(2688,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2661]) ).

thf(2689,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2666]) ).

thf(2690,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2665]) ).

thf(2691,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2664]) ).

thf(2692,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2663]) ).

thf(2693,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2668]) ).

thf(2694,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2667]) ).

thf(2699,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2676]) ).

thf(2700,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2675]) ).

thf(2701,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2674]) ).

thf(2702,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2673]) ).

thf(2703,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2678]) ).

thf(2704,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2677]) ).

thf(2705,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2679]) ).

thf(2706,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2680]) ).

thf(2707,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2681]) ).

thf(2708,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2682]) ).

thf(2709,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2683]) ).

thf(2710,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2684]) ).

thf(2711,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2685]) ).

thf(2712,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2686]) ).

thf(2713,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2687]) ).

thf(2714,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2688]) ).

thf(2715,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2689]) ).

thf(2716,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2690]) ).

thf(2717,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2693]) ).

thf(2718,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2694]) ).

thf(2721,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2699]) ).

thf(2722,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2700]) ).

thf(2723,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2703]) ).

thf(2724,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2704]) ).

thf(2725,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2715]) ).

thf(2726,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2716]) ).

thf(2729,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2721]) ).

thf(2730,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2722]) ).

thf(2773,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_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)],[1644,197]) ).

thf(2775,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1644,191]) ).

thf(2777,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_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)],[1644,185]) ).

thf(2778,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1644,182]) ).

thf(2779,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_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)],[1644,177]) ).

thf(2780,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_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)],[1644,172]) ).

thf(2781,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_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)],[1644,168]) ).

thf(2782,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1644,166]) ).

thf(2783,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_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)],[1644,163]) ).

thf(2785,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2783]) ).

thf(2786,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2783]) ).

thf(2787,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2782]) ).

thf(2788,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2782]) ).

thf(2789,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2781]) ).

thf(2790,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2781]) ).

thf(2791,plain,
    ( ( ( lBen_THFTYPE_i = lAnna_THFTYPE_i )
      = $false )
    | ( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2780]) ).

thf(2792,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2780]) ).

thf(2793,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2780]) ).

thf(2794,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2779]) ).

thf(2795,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2779]) ).

thf(2796,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2778]) ).

thf(2797,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2778]) ).

thf(2798,plain,
    ( ( ( lBen_THFTYPE_i = lAnna_THFTYPE_i )
      = $false )
    | ( ( lBob_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2777]) ).

thf(2799,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2777]) ).

thf(2800,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2777]) ).

thf(2803,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2775]) ).

thf(2804,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2775]) ).

thf(2806,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2773]) ).

thf(2807,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2773]) ).

thf(2808,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2797]) ).

thf(2809,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2796]) ).

thf(2812,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2804]) ).

thf(2813,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2803]) ).

thf(2856,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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)],[1647,197]) ).

thf(2859,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1647,189]) ).

thf(2860,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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)],[1647,185]) ).

thf(2861,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1647,182]) ).

thf(2862,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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)],[1647,177]) ).

thf(2863,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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)],[1647,172]) ).

thf(2864,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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)],[1647,168]) ).

thf(2865,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1647,166]) ).

thf(2866,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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)],[1647,163]) ).

thf(2867,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2866]) ).

thf(2868,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2866]) ).

thf(2869,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2865]) ).

thf(2870,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2865]) ).

thf(2871,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2864]) ).

thf(2872,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2864]) ).

thf(2873,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2863]) ).

thf(2874,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2863]) ).

thf(2875,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2862]) ).

thf(2876,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2862]) ).

thf(2877,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2861]) ).

thf(2878,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2861]) ).

thf(2879,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2861]) ).

thf(2880,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2861]) ).

thf(2881,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2860]) ).

thf(2882,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2860]) ).

thf(2883,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2859]) ).

thf(2884,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2859]) ).

thf(2885,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2859]) ).

thf(2886,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2859]) ).

thf(2891,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2856]) ).

thf(2892,plain,
    ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2856]) ).

thf(2893,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2868]) ).

thf(2894,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2867]) ).

thf(2895,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2870]) ).

thf(2896,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2869]) ).

thf(2897,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2872]) ).

thf(2898,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2871]) ).

thf(2899,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2874]) ).

thf(2900,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2873]) ).

thf(2901,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2876]) ).

thf(2902,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2875]) ).

thf(2903,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2880]) ).

thf(2904,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2879]) ).

thf(2905,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2878]) ).

thf(2906,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2877]) ).

thf(2907,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2882]) ).

thf(2908,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2881]) ).

thf(2909,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2886]) ).

thf(2910,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2885]) ).

thf(2911,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2884]) ).

thf(2912,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2883]) ).

thf(2917,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2892]) ).

thf(2918,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2891]) ).

thf(2919,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2893]) ).

thf(2920,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2894]) ).

thf(2921,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2895]) ).

thf(2922,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2896]) ).

thf(2923,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2897]) ).

thf(2924,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2898]) ).

thf(2925,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2899]) ).

thf(2926,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2900]) ).

thf(2927,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2901]) ).

thf(2928,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2902]) ).

thf(2929,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2903]) ).

thf(2930,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2904]) ).

thf(2931,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2907]) ).

thf(2932,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2908]) ).

thf(2933,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2909]) ).

thf(2934,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2910]) ).

thf(2937,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2917]) ).

thf(2938,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2918]) ).

thf(2939,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2929]) ).

thf(2940,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2930]) ).

thf(2941,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2933]) ).

thf(2942,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2934]) ).

thf(2987,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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)],[1648,197]) ).

thf(2990,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1648,189]) ).

thf(2991,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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)],[1648,185]) ).

thf(2992,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1648,182]) ).

thf(2993,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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)],[1648,177]) ).

thf(2994,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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)],[1648,172]) ).

thf(2995,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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)],[1648,168]) ).

thf(2996,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1648,166]) ).

thf(2997,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_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)],[1648,163]) ).

thf(2998,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2997]) ).

thf(2999,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2997]) ).

thf(3000,plain,
    ( ( lMary_THFTYPE_i = lBill_THFTYPE_i )
    = $false ),
    inference(extuni,[status(esa)],[2996]) ).

thf(3001,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2996]) ).

thf(3002,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2996]) ).

thf(3003,plain,
    ( ( ( lMary_THFTYPE_i = lBill_THFTYPE_i )
      = $false )
    | ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2995]) ).

thf(3004,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2995]) ).

thf(3005,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2995]) ).

thf(3006,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2994]) ).

thf(3007,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2994]) ).

thf(3008,plain,
    ( ( ( lMary_THFTYPE_i = lBill_THFTYPE_i )
      = $false )
    | ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2993]) ).

thf(3009,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2993]) ).

thf(3010,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2993]) ).

thf(3011,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2992]) ).

thf(3012,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2992]) ).

thf(3013,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2991]) ).

thf(3014,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2991]) ).

thf(3015,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[2990]) ).

thf(3016,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[2990]) ).

thf(3019,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[2987]) ).

thf(3020,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[2987]) ).

thf(3021,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3012]) ).

thf(3022,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3011]) ).

thf(3023,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3016]) ).

thf(3024,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3015]) ).

thf(3027,plain,
    ! [SV202: $i,SV203: $i,SV204: $i] :
      ( ( ( subProcess_THFTYPE_IiioI @ SV204 @ SV203 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV204 @ SV202 )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV203 @ SV202 )
        = $false ) ),
    inference(rename,[status(thm)],[398]) ).

thf(3202,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1651,191]) ).

thf(3203,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1651,189]) ).

thf(3204,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_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)],[1651,185]) ).

thf(3205,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1651,182]) ).

thf(3206,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_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)],[1651,177]) ).

thf(3207,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_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)],[1651,172]) ).

thf(3208,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_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)],[1651,168]) ).

thf(3209,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[1651,166]) ).

thf(3210,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_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)],[1651,163]) ).

thf(3211,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[3210]) ).

thf(3212,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3210]) ).

thf(3213,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[3209]) ).

thf(3214,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3209]) ).

thf(3215,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[3208]) ).

thf(3216,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3208]) ).

thf(3217,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[3207]) ).

thf(3218,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3207]) ).

thf(3219,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[3206]) ).

thf(3220,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3206]) ).

thf(3221,plain,
    ( ( ( lBen_THFTYPE_i = lAnna_THFTYPE_i )
      = $false )
    | ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3205]) ).

thf(3222,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[3205]) ).

thf(3223,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3205]) ).

thf(3224,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[3205]) ).

thf(3225,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3205]) ).

thf(3226,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[3204]) ).

thf(3227,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3204]) ).

thf(3229,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[3203]) ).

thf(3230,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3203]) ).

thf(3231,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[3203]) ).

thf(3232,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3203]) ).

thf(3233,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[3202]) ).

thf(3234,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3202]) ).

thf(3235,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[3202]) ).

thf(3236,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3202]) ).

thf(3239,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3212]) ).

thf(3240,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3211]) ).

thf(3241,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3214]) ).

thf(3242,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3213]) ).

thf(3243,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3216]) ).

thf(3244,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3215]) ).

thf(3245,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3218]) ).

thf(3246,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3217]) ).

thf(3247,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3220]) ).

thf(3248,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3219]) ).

thf(3249,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3225]) ).

thf(3250,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3224]) ).

thf(3251,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3227]) ).

thf(3252,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3226]) ).

thf(3253,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3232]) ).

thf(3254,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3231]) ).

thf(3255,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3236]) ).

thf(3256,plain,
    ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3235]) ).

thf(3259,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3249]) ).

thf(3260,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3250]) ).

thf(3261,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3253]) ).

thf(3262,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3254]) ).

thf(3263,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3255]) ).

thf(3264,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3256]) ).

thf(3427,plain,
    ! [SV205: $i,SV206: $i,SV207: $i] :
      ( ( ( part_THFTYPE_IiioI @ SV207 @ SV206 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV207 @ SV205 )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV206 @ SV205 )
        = $false ) ),
    inference(rename,[status(thm)],[404]) ).

thf(3432,plain,
    ! [SV205: $i,SV206: $i,SV207: $i,SV202: $i,SV203: $i,SV204: $i] :
      ( ( ( ( located_THFTYPE_IiioI @ SV207 @ SV205 )
          = ( located_THFTYPE_IiioI @ SV203 @ SV202 ) )
        = $false )
      | ( ( part_THFTYPE_IiioI @ SV207 @ SV206 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV206 @ SV205 )
        = $false )
      | ( ( subProcess_THFTYPE_IiioI @ SV204 @ SV203 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV204 @ SV202 )
        = $true ) ),
    inference(res,[status(thm)],[3427,3027]) ).

thf(3433,plain,
    ! [SV205: $i,SV206: $i,SV207: $i,SV202: $i,SV203: $i,SV204: $i] :
      ( ( ( ( located_THFTYPE_IiioI @ SV206 @ SV205 )
          = ( located_THFTYPE_IiioI @ SV204 @ SV202 ) )
        = $false )
      | ( ( part_THFTYPE_IiioI @ SV207 @ SV206 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV207 @ SV205 )
        = $true )
      | ( ( subProcess_THFTYPE_IiioI @ SV204 @ SV203 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV203 @ SV202 )
        = $false ) ),
    inference(res,[status(thm)],[3427,3027]) ).

thf(3563,plain,
    ! [SV207: $i,SV204: $i,SV202: $i,SV203: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV203 @ SV202 )
        = $false )
      | ( ( subProcess_THFTYPE_IiioI @ SV204 @ SV203 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV207 @ SV202 )
        = $true )
      | ( ( part_THFTYPE_IiioI @ SV207 @ SV204 )
        = $false ) ),
    inference(extuni,[status(esa)],[3433:[bind(SV205,$thf( SV202 )),bind(SV206,$thf( SV204 ))]]) ).

thf(3564,plain,
    ! [SV206: $i,SV203: $i,SV202: $i,SV204: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV204 @ SV202 )
        = $true )
      | ( ( subProcess_THFTYPE_IiioI @ SV204 @ SV203 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV206 @ SV202 )
        = $false )
      | ( ( part_THFTYPE_IiioI @ SV203 @ SV206 )
        = $false ) ),
    inference(extuni,[status(esa)],[3432:[bind(SV205,$thf( SV202 )),bind(SV207,$thf( SV203 ))]]) ).

thf(3677,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
        = $true ) ),
    inference(rename,[status(thm)],[410]) ).

thf(3688,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
            = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
          = ( lBob_THFTYPE_i = lMary_THFTYPE_i ) )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false ) ),
    inference(res,[status(thm)],[3677,2405]) ).

thf(3689,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
            = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
          = ( lBob_THFTYPE_i = lSue_THFTYPE_i ) )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false ) ),
    inference(res,[status(thm)],[3677,2398]) ).

thf(3690,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
            = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
          = ( lSue_THFTYPE_i = lBob_THFTYPE_i ) )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false ) ),
    inference(res,[status(thm)],[3677,2059]) ).

thf(3691,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
            = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
          = ( lBill_THFTYPE_i = lMary_THFTYPE_i ) )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false ) ),
    inference(res,[status(thm)],[3677,1859]) ).

thf(3692,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
            = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
          = ( lMary_THFTYPE_i = lBob_THFTYPE_i ) )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false ) ),
    inference(res,[status(thm)],[3677,1750]) ).

thf(3762,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = lBob_THFTYPE_i )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV208 )
          = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3692]) ).

thf(3763,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV208 )
          = lBob_THFTYPE_i )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3692]) ).

thf(3764,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = lMary_THFTYPE_i )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV208 )
          = lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3691]) ).

thf(3765,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV208 )
          = lMary_THFTYPE_i )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3691]) ).

thf(3766,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = lBob_THFTYPE_i )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV208 )
          = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3690]) ).

thf(3767,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV208 )
          = lBob_THFTYPE_i )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3690]) ).

thf(3768,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = lSue_THFTYPE_i )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV208 )
          = lBob_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3689]) ).

thf(3769,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV208 )
          = lSue_THFTYPE_i )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = lBob_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3689]) ).

thf(3770,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = lMary_THFTYPE_i )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV208 )
          = lBob_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3688]) ).

thf(3771,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV208 )
          = lMary_THFTYPE_i )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = lBob_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3688]) ).

thf(3772,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( ( lMary_THFTYPE_i = lBill_THFTYPE_i )
          = ( ( lEndFn_THFTYPE_IiiI @ SV209 )
            = ( lBeginFn_THFTYPE_IiiI @ SV208 ) ) )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false ) ),
    inference(res,[status(thm)],[3000,3677]) ).

thf(3828,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( lMary_THFTYPE_i
          = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
        = $false )
      | ( ( lBill_THFTYPE_i
          = ( lEndFn_THFTYPE_IiiI @ SV209 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3772]) ).

thf(3829,plain,
    ! [SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( lBill_THFTYPE_i
          = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
        = $false )
      | ( ( lMary_THFTYPE_i
          = ( lEndFn_THFTYPE_IiiI @ SV209 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3772]) ).

thf(3830,plain,
    ! [SV210: $i,SV211: $i] :
      ( ( ( ( lEndFn_THFTYPE_IiiI @ SV211 )
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true ) ),
    inference(rename,[status(thm)],[411]) ).

thf(3833,plain,
    ! [SV210: $i,SV211: $i,SV208: $i,SV209: $i] :
      ( ( ( ( ( lEndFn_THFTYPE_IiiI @ SV211 )
            = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
          = ( ( lEndFn_THFTYPE_IiiI @ SV209 )
            = ( lBeginFn_THFTYPE_IiiI @ SV208 ) ) )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false ) ),
    inference(res,[status(thm)],[3830,3677]) ).

thf(3919,plain,
    ! [SV210: $i,SV211: $i,SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV211 )
          = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV210 )
          = ( lEndFn_THFTYPE_IiiI @ SV209 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3833]) ).

thf(3921,plain,
    ! [SV210: $i,SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV210 )
        = $true )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV210 )
          = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3833:[bind(SV211,$thf( SV209 ))]]) ).

thf(3922,plain,
    ! [SV211: $i,SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV208 )
        = $true )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV211 )
          = ( lEndFn_THFTYPE_IiiI @ SV209 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3833:[bind(SV210,$thf( SV208 ))]]) ).

thf(3923,plain,
    ! [SV210: $i,SV211: $i,SV208: $i,SV209: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ SV210 )
          = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV211 )
          = ( lEndFn_THFTYPE_IiiI @ SV209 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3833]) ).

thf(3925,plain,
    ! [SV215: $i > $o] :
      ( ( ( SV215 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(rename,[status(thm)],[563]) ).

thf(3926,plain,
    ! [SV215: $i > $o,SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( subrelation_THFTYPE_IIioIIioIoI
            @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
            @ SV215 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false )
      | ( ( SV215 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(res,[status(thm)],[3925,3925]) ).

thf(3929,plain,
    ! [SV215: $i > $o,SV210: $i,SV211: $i] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( ( lEndFn_THFTYPE_IiiI @ SV211 )
            = ( lBeginFn_THFTYPE_IiiI @ SV210 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true ) ),
    inference(res,[status(thm)],[3925,3830]) ).

thf(3931,plain,
    ! [SV215: $i > $o,SV208: $i,SV209: $i] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
        = $true ) ),
    inference(res,[status(thm)],[3925,3677]) ).

thf(3932,plain,
    ! [SV215: $i > $o,SV205: $i,SV206: $i,SV207: $i] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( located_THFTYPE_IiioI @ SV206 @ SV205 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false )
      | ( ( part_THFTYPE_IiioI @ SV207 @ SV206 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV207 @ SV205 )
        = $true ) ),
    inference(res,[status(thm)],[3925,3427]) ).

thf(3934,plain,
    ! [SV215: $i > $o,SV205: $i,SV206: $i,SV207: $i] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( part_THFTYPE_IiioI @ SV207 @ SV206 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV207 @ SV205 )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV206 @ SV205 )
        = $false ) ),
    inference(res,[status(thm)],[3925,3427]) ).

thf(3935,plain,
    ! [SV215: $i > $o,SV202: $i,SV203: $i,SV204: $i] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( located_THFTYPE_IiioI @ SV203 @ SV202 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false )
      | ( ( subProcess_THFTYPE_IiioI @ SV204 @ SV203 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV204 @ SV202 )
        = $true ) ),
    inference(res,[status(thm)],[3925,3027]) ).

thf(3937,plain,
    ! [SV215: $i > $o,SV202: $i,SV203: $i,SV204: $i] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( subProcess_THFTYPE_IiioI @ SV204 @ SV203 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV204 @ SV202 )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV203 @ SV202 )
        = $false ) ),
    inference(res,[status(thm)],[3925,3027]) ).

thf(3938,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( lMary_THFTYPE_i = lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,3000]) ).

thf(3939,plain,
    ! [SV215: $i > $o,SV201: $i] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( instance_THFTYPE_IiioI @ SV201 @ lOrganism_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ SV201 @ ( sK1_SY60 @ SV201 ) )
        = $true ) ),
    inference(res,[status(thm)],[3925,2527]) ).

thf(3941,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( lBob_THFTYPE_i = lMary_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,2405]) ).

thf(3942,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( lBob_THFTYPE_i = lSue_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,2398]) ).

thf(3943,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( lSue_THFTYPE_i = lBob_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,2059]) ).

thf(3944,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( lBill_THFTYPE_i = lMary_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1859]) ).

thf(3945,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( lMary_THFTYPE_i = lBob_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1750]) ).

thf(3946,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1651]) ).

thf(3947,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1648]) ).

thf(3948,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1647]) ).

thf(3949,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1644]) ).

thf(3950,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1643]) ).

thf(3951,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1640]) ).

thf(3952,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1637]) ).

thf(3953,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1636]) ).

thf(3954,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1633]) ).

thf(3955,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1630]) ).

thf(3956,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1627]) ).

thf(3957,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1624]) ).

thf(3958,plain,
    ! [SV215: $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1621]) ).

thf(3959,plain,
    ! [SV215: $i > $o,SV197: $o,SV198: $i] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1515]) ).

thf(3960,plain,
    ! [SV215: $i > $o,SV197: $o,SV198: $i] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(res,[status(thm)],[3925,1515]) ).

thf(3962,plain,
    ! [SV215: $i > $o,SV195: $i,SV196: $i] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( subProcess_THFTYPE_IiioI @ SV196 @ SV195 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false )
      | ( ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ SV196 ) @ ( lWhenFn_THFTYPE_IiiI @ SV195 ) )
        = $true ) ),
    inference(res,[status(thm)],[3925,1460]) ).

thf(3963,plain,
    ! [SV215: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                      | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV116 != SV114 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ SV215 )
        = $false ) ),
    inference(res,[status(thm)],[3925,592]) ).

thf(4016,plain,
    ( ( $false = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : $false )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV249: $i] : $false ))]]) ).

thf(4017,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : $false )
    = $false ),
    inference(sim,[status(thm)],[4016]) ).

thf(4018,plain,
    ! [SV248: $i > $o] :
      ( ( ( ~ ( SV248 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ~ ( SV248 @ SX0 ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV247: $i] : ~ ( SV248 @ SV247 ) ))]]) ).

thf(4020,plain,
    ( ( ( lAnna_THFTYPE_i = lBill_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lBill_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV224: $i] : ( SV224 = lBill_THFTYPE_i ) ))]]) ).

thf(4021,plain,
    ( ( ( lAnna_THFTYPE_i = lBinaryPredicate_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lBinaryPredicate_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV225: $i] : ( SV225 = lBinaryPredicate_THFTYPE_i ) ))]]) ).

thf(4022,plain,
    ( ( ( lAnna_THFTYPE_i = lOrganism_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lOrganism_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV226: $i] : ( SV226 = lOrganism_THFTYPE_i ) ))]]) ).

thf(4023,plain,
    ( ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = n2009_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV227: $i] : ( SV227 = n2009_THFTYPE_i ) ))]]) ).

thf(4024,plain,
    ( ( ( lAnna_THFTYPE_i = lProcess_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lProcess_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV228: $i] : ( SV228 = lProcess_THFTYPE_i ) ))]]) ).

thf(4025,plain,
    ( ( ( lAnna_THFTYPE_i = lTemporalRelation_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lTemporalRelation_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV229: $i] : ( SV229 = lTemporalRelation_THFTYPE_i ) ))]]) ).

thf(4026,plain,
    ( ( ( lAnna_THFTYPE_i = equal_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = equal_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV230: $i] : ( SV230 = equal_THFTYPE_i ) ))]]) ).

thf(4027,plain,
    ( ( ( lAnna_THFTYPE_i = patient_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = patient_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV231: $i] : ( SV231 = patient_THFTYPE_i ) ))]]) ).

thf(4028,plain,
    ( ( ( lAnna_THFTYPE_i = agent_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = agent_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV232: $i] : ( SV232 = agent_THFTYPE_i ) ))]]) ).

thf(4029,plain,
    ( ( ( lAnna_THFTYPE_i = lInteger_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lInteger_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV233: $i] : ( SV233 = lInteger_THFTYPE_i ) ))]]) ).

thf(4030,plain,
    ( ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV234: $i] : ( SV234 = lMary_THFTYPE_i ) ))]]) ).

thf(4031,plain,
    ( ( ( lAnna_THFTYPE_i = lTimeInterval_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lTimeInterval_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV235: $i] : ( SV235 = lTimeInterval_THFTYPE_i ) ))]]) ).

thf(4032,plain,
    ( ( ( lAnna_THFTYPE_i = attribute_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = attribute_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV236: $i] : ( SV236 = attribute_THFTYPE_i ) ))]]) ).

thf(4033,plain,
    ( ( ( lAnna_THFTYPE_i = lBen_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lBen_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV237: $i] : ( SV237 = lBen_THFTYPE_i ) ))]]) ).

thf(4034,plain,
    ( ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lSue_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV238: $i] : ( SV238 = lSue_THFTYPE_i ) ))]]) ).

thf(4035,plain,
    ( ( ( lAnna_THFTYPE_i = lAsymmetricRelation_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lAsymmetricRelation_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV239: $i] : ( SV239 = lAsymmetricRelation_THFTYPE_i ) ))]]) ).

thf(4036,plain,
    ( ( ( lAnna_THFTYPE_i = lWhenFn_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lWhenFn_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV240: $i] : ( SV240 = lWhenFn_THFTYPE_i ) ))]]) ).

thf(4037,plain,
    ( ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV241: $i] : ( SV241 = lBob_THFTYPE_i ) ))]]) ).

thf(4038,plain,
    ( ( ( lAnna_THFTYPE_i = n1_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = n1_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV242: $i] : ( SV242 = n1_THFTYPE_i ) ))]]) ).

thf(4039,plain,
    ( ( ( lAnna_THFTYPE_i = lTotalValuedRelation_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lTotalValuedRelation_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV243: $i] : ( SV243 = lTotalValuedRelation_THFTYPE_i ) ))]]) ).

thf(4040,plain,
    ( ( ( lAnna_THFTYPE_i = n2_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = n2_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV244: $i] : ( SV244 = n2_THFTYPE_i ) ))]]) ).

thf(4041,plain,
    ( ( ( lAnna_THFTYPE_i = lMeasureFn_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lMeasureFn_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV245: $i] : ( SV245 = lMeasureFn_THFTYPE_i ) ))]]) ).

thf(4042,plain,
    ( ( ( lAnna_THFTYPE_i = lUnaryFunction_THFTYPE_i )
      = $true )
    | ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lUnaryFunction_THFTYPE_i ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV246: $i] : ( SV246 = lUnaryFunction_THFTYPE_i ) ))]]) ).

thf(4043,plain,
    ! [SV222: $i > $o,SV221: $i > $o] :
      ( ( ( ( SV221 @ lAnna_THFTYPE_i )
          | ( SV222 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV221 @ SX0 )
              | ( SV222 @ SX0 ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV220: $i] : ( ( SV221 @ SV220 ) | ( SV222 @ SV220 ) ) ))]]) ).

thf(4044,plain,
    ! [SV219: $i > num,SV218: $i > num] :
      ( ( ( ( SV218 @ lAnna_THFTYPE_i )
          = ( SV219 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV218 @ SX0 )
              = ( SV219 @ SX0 ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[3925:[bind(SV215,$thf( ^ [SV217: $i] : ( ( SV218 @ SV217 ) = ( SV219 @ SV217 ) ) ))]]) ).

thf(4045,plain,
    ! [SV215: $i > $o] :
      ( ( ( SV215 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( SV215 @ lAnna_THFTYPE_i )
          = ( ~ ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
                @ SV215 ) ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[3925]) ).

thf(4046,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV310: $i > $o,SV309: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV309 @ lAnna_THFTYPE_i )
          | ( SV310 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( ( SV309 @ SX0 ) | ( SV310 @ SX0 ) ) ) ))]]) ).

thf(4047,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV310: $i > $o,SV309: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV309 @ lAnna_THFTYPE_i )
          | ( SV310 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( ( SV309 @ SX0 ) | ( SV310 @ SX0 ) ) ) ))]]) ).

thf(4048,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV306: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV306 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV306 @ SX0 ) ) ))]]) ).

thf(4049,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV306: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV306 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV306 @ SX0 ) ) ))]]) ).

thf(4050,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV297: $i > $o,SV296: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV296 @ lAnna_THFTYPE_i )
          | ( SV297 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( ( SV296 @ SX0 ) | ( SV297 @ SX0 ) ) ) ))]]) ).

thf(4051,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV297: $i > $o,SV296: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV296 @ lAnna_THFTYPE_i )
          | ( SV297 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( ( SV296 @ SX0 ) | ( SV297 @ SX0 ) ) ) ))]]) ).

thf(4052,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV293: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV293 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV293 @ SX0 ) ) ))]]) ).

thf(4053,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV293: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV293 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV293 @ SX0 ) ) ))]]) ).

thf(4054,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV323: $i > $o,SV322: $i > $o,SV257: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV322 @ lAnna_THFTYPE_i )
          | ( SV323 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) ) @ ~ ( ( SV322 @ SX0 ) | ( SV323 @ SX0 ) ) ) ))]]) ).

thf(4055,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV323: $i > $o,SV322: $i > $o,SV257: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV322 @ lAnna_THFTYPE_i )
          | ( SV323 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) ) @ ~ ( ( SV322 @ SX0 ) | ( SV323 @ SX0 ) ) ) ))]]) ).

thf(4056,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV319: $i > $o,SV257: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV319 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) ) @ ~ ( SV319 @ SX0 ) ) ))]]) ).

thf(4057,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV319: $i > $o,SV257: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV319 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) ) @ ~ ( SV319 @ SX0 ) ) ))]]) ).

thf(4058,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV264: $i > $o,SV263: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV263 @ lAnna_THFTYPE_i )
          | ( SV264 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ( SV263 @ SX0 ) | ( SV264 @ SX0 ) ) ) ))]]) ).

thf(4059,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV264: $i > $o,SV263: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV263 @ lAnna_THFTYPE_i )
          | ( SV264 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ( SV263 @ SX0 ) | ( SV264 @ SX0 ) ) ) ))]]) ).

thf(4060,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV260: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV260 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV260 @ SX0 ) ) ))]]) ).

thf(4061,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV260: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV260 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV260 @ SX0 ) ) ))]]) ).

thf(4062,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV254: $i > $o,SV253: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV253 @ SX0 ) @ ( SV254 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV253 @ lAnna_THFTYPE_i ) @ ( SV254 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV253 @ SX0 ) @ ( SV254 @ SX0 ) ) ))]]) ).

thf(4063,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV254: $i > $o,SV253: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV253 @ SX0 ) @ ( SV254 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV253 @ lAnna_THFTYPE_i ) @ ( SV254 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3963:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV253 @ SX0 ) @ ( SV254 @ SX0 ) ) ))]]) ).

thf(4064,plain,
    ! [SV351: $i > $i,SV350: $i > $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ ( SV350 @ lAnna_THFTYPE_i ) ) @ ( lWhenFn_THFTYPE_IiiI @ ( SV351 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subProcess_THFTYPE_IiioI @ ( SV350 @ SX0 ) @ ( SV351 @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3962:[bind(SV195,$thf( SV351 @ lAnna_THFTYPE_i )),bind(SV196,$thf( SV350 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( subProcess_THFTYPE_IiioI @ ( SV350 @ SX0 ) @ ( SV351 @ SX0 ) ) ))]]) ).

thf(4065,plain,
    ! [SV351: $i > $i,SV350: $i > $i,SV195: $i,SV196: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ SV196 ) @ ( lWhenFn_THFTYPE_IiiI @ SV195 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subProcess_THFTYPE_IiioI @ ( SV350 @ SX0 ) @ ( SV351 @ SX0 ) ) )
        = $false )
      | ( ( subProcess_THFTYPE_IiioI @ ( SV350 @ lAnna_THFTYPE_i ) @ ( SV351 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subProcess_THFTYPE_IiioI @ SV196 @ SV195 )
        = $true ) ),
    inference(extuni,[status(esa)],[3962:[bind(SV215,$thf( ^ [SX0: $i] : ( subProcess_THFTYPE_IiioI @ ( SV350 @ SX0 ) @ ( SV351 @ SX0 ) ) ))]]) ).

thf(4066,plain,
    ! [SV351: $i > $i,SV350: $i > $i,SV195: $i,SV196: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ SV196 ) @ ( lWhenFn_THFTYPE_IiiI @ SV195 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subProcess_THFTYPE_IiioI @ ( SV350 @ SX0 ) @ ( SV351 @ SX0 ) ) )
        = $false )
      | ( ( subProcess_THFTYPE_IiioI @ ( SV350 @ lAnna_THFTYPE_i ) @ ( SV351 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subProcess_THFTYPE_IiioI @ SV196 @ SV195 )
        = $false ) ),
    inference(extuni,[status(esa)],[3962:[bind(SV215,$thf( ^ [SX0: $i] : ( subProcess_THFTYPE_IiioI @ ( SV350 @ SX0 ) @ ( SV351 @ SX0 ) ) ))]]) ).

thf(4067,plain,
    ! [SV355: $i > $o,SV354: $i > $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( SV354 @ lAnna_THFTYPE_i )
          @ ~ ( SV355 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV354 @ SX0 ) @ ( SV355 @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3960:[bind(SV197,$thf( SV355 @ lAnna_THFTYPE_i )),bind(SV198,$thf( SV354 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV354 @ SX0 ) @ ( SV355 @ SX0 ) ) ))]]) ).

thf(4068,plain,
    ! [SV355: $i > $o,SV354: $i > $i,SV197: $o,SV198: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV354 @ SX0 ) @ ( SV355 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV354 @ lAnna_THFTYPE_i ) @ ( SV355 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $true ) ),
    inference(extuni,[status(esa)],[3960:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV354 @ SX0 ) @ ( SV355 @ SX0 ) ) ))]]) ).

thf(4069,plain,
    ! [SV355: $i > $o,SV354: $i > $i,SV197: $o,SV198: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV354 @ SX0 ) @ ( SV355 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV354 @ lAnna_THFTYPE_i ) @ ( SV355 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false ) ),
    inference(extuni,[status(esa)],[3960:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV354 @ SX0 ) @ ( SV355 @ SX0 ) ) ))]]) ).

thf(4070,plain,
    ! [SV362: $i > $o,SV358: $i > $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ lAnna_THFTYPE_i ) @ ( SV362 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 )
              @ ~ ( SV362 @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3959:[bind(SV197,$thf( SV362 @ lAnna_THFTYPE_i )),bind(SV198,$thf( SV358 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 ) @ ~ ( SV362 @ SX0 ) ) ))]]) ).

thf(4071,plain,
    ! [SV362: $i > $o,SV197: $o,SV358: $i > $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ lAnna_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 )
              @ ~ ( SV362 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV362 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ SV197 ) = $true ) ),
    inference(extuni,[status(esa)],[3959:[bind(SV198,$thf( SV358 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 ) @ ~ ( SV362 @ SX0 ) ) ))]]) ).

thf(4072,plain,
    ! [SV362: $i > $o,SV197: $o,SV358: $i > $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ lAnna_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 )
              @ ~ ( SV362 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV362 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ SV197 ) = $false ) ),
    inference(extuni,[status(esa)],[3959:[bind(SV198,$thf( SV358 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 ) @ ~ ( SV362 @ SX0 ) ) ))]]) ).

thf(4073,plain,
    ! [SV359: $i > $o,SV358: $i > $i,SV197: $o,SV198: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ lAnna_THFTYPE_i ) @ ( SV359 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $true ) ),
    inference(extuni,[status(esa)],[3959:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) ) ))]]) ).

thf(4074,plain,
    ! [SV359: $i > $o,SV358: $i > $i,SV197: $o,SV198: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ SV197 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ lAnna_THFTYPE_i ) @ ( SV359 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV198 @ ~ SV197 )
        = $false ) ),
    inference(extuni,[status(esa)],[3959:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 ) @ ( SV359 @ SX0 ) ) ))]]) ).

thf(4075,plain,
    ! [SV400: $i > $i,SV399: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV399 @ SX0 ) @ ( SV400 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV399 @ lAnna_THFTYPE_i ) @ ( SV400 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( parent_THFTYPE_IiioI @ ( SV399 @ SX0 ) @ ( SV400 @ SX0 ) ) ) ))]]) ).

thf(4076,plain,
    ! [SV400: $i > $i,SV399: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV399 @ SX0 ) @ ( SV400 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV399 @ lAnna_THFTYPE_i ) @ ( SV400 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( parent_THFTYPE_IiioI @ ( SV399 @ SX0 ) @ ( SV400 @ SX0 ) ) ) ))]]) ).

thf(4077,plain,
    ! [SV396: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV396 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV396 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV396 @ SX0 ) ) ))]]) ).

thf(4078,plain,
    ! [SV396: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV396 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV396 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV396 @ SX0 ) ) ))]]) ).

thf(4079,plain,
    ! [SV391: $i > $i,SV390: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV390 @ SX0 ) @ ( SV391 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV390 @ lAnna_THFTYPE_i ) @ ( SV391 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( parent_THFTYPE_IiioI @ ( SV390 @ SX0 ) @ ( SV391 @ SX0 ) ) ) ))]]) ).

thf(4080,plain,
    ! [SV391: $i > $i,SV390: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV390 @ SX0 ) @ ( SV391 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV390 @ lAnna_THFTYPE_i ) @ ( SV391 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( parent_THFTYPE_IiioI @ ( SV390 @ SX0 ) @ ( SV391 @ SX0 ) ) ) ))]]) ).

thf(4081,plain,
    ! [SV387: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV387 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV387 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV387 @ SX0 ) ) ))]]) ).

thf(4082,plain,
    ! [SV387: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV387 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV387 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV387 @ SX0 ) ) ))]]) ).

thf(4083,plain,
    ! [SV409: $i > $i,SV408: $i > $i,SV369: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV369 @ SX0 ) )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV408 @ SX0 ) @ ( SV409 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV408 @ lAnna_THFTYPE_i ) @ ( SV409 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV369 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV369 @ SX0 ) ) @ ~ ( parent_THFTYPE_IiioI @ ( SV408 @ SX0 ) @ ( SV409 @ SX0 ) ) ) ))]]) ).

thf(4084,plain,
    ! [SV409: $i > $i,SV408: $i > $i,SV369: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV369 @ SX0 ) )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV408 @ SX0 ) @ ( SV409 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV408 @ lAnna_THFTYPE_i ) @ ( SV409 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV369 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV369 @ SX0 ) ) @ ~ ( parent_THFTYPE_IiioI @ ( SV408 @ SX0 ) @ ( SV409 @ SX0 ) ) ) ))]]) ).

thf(4085,plain,
    ! [SV405: $i > $o,SV369: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV369 @ SX0 ) )
              @ ~ ( SV405 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV405 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV369 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV369 @ SX0 ) ) @ ~ ( SV405 @ SX0 ) ) ))]]) ).

thf(4086,plain,
    ! [SV405: $i > $o,SV369: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV369 @ SX0 ) )
              @ ~ ( SV405 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV405 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV369 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV369 @ SX0 ) ) @ ~ ( SV405 @ SX0 ) ) ))]]) ).

thf(4087,plain,
    ! [SV376: $i > $i,SV375: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( parent_THFTYPE_IiioI @ ( SV375 @ SX0 ) @ ( SV376 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV375 @ lAnna_THFTYPE_i ) @ ( SV376 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( parent_THFTYPE_IiioI @ ( SV375 @ SX0 ) @ ( SV376 @ SX0 ) ) ) ))]]) ).

thf(4088,plain,
    ! [SV376: $i > $i,SV375: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( parent_THFTYPE_IiioI @ ( SV375 @ SX0 ) @ ( SV376 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV375 @ lAnna_THFTYPE_i ) @ ( SV376 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( parent_THFTYPE_IiioI @ ( SV375 @ SX0 ) @ ( SV376 @ SX0 ) ) ) ))]]) ).

thf(4089,plain,
    ! [SV372: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV372 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV372 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV372 @ SX0 ) ) ))]]) ).

thf(4090,plain,
    ! [SV372: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV372 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV372 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV372 @ SX0 ) ) ))]]) ).

thf(4091,plain,
    ! [SV366: $i > $o,SV365: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV365 @ SX0 ) @ ( SV366 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV365 @ lAnna_THFTYPE_i ) @ ( SV366 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV365 @ SX0 ) @ ( SV366 @ SX0 ) ) ))]]) ).

thf(4092,plain,
    ! [SV366: $i > $o,SV365: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV365 @ SX0 ) @ ( SV366 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV365 @ lAnna_THFTYPE_i ) @ ( SV366 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3958:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV365 @ SX0 ) @ ( SV366 @ SX0 ) ) ))]]) ).

thf(4093,plain,
    ! [SV453: $i > $i,SV452: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV452 @ SX0 ) @ ( SV453 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV452 @ lAnna_THFTYPE_i ) @ ( SV453 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( likes_THFTYPE_IiioI @ ( SV452 @ SX0 ) @ ( SV453 @ SX0 ) ) ) ))]]) ).

thf(4094,plain,
    ! [SV453: $i > $i,SV452: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV452 @ SX0 ) @ ( SV453 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV452 @ lAnna_THFTYPE_i ) @ ( SV453 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( likes_THFTYPE_IiioI @ ( SV452 @ SX0 ) @ ( SV453 @ SX0 ) ) ) ))]]) ).

thf(4095,plain,
    ! [SV449: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV449 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV449 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV449 @ SX0 ) ) ))]]) ).

thf(4096,plain,
    ! [SV449: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV449 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV449 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV449 @ SX0 ) ) ))]]) ).

thf(4097,plain,
    ! [SV444: $i > $i,SV443: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV443 @ SX0 ) @ ( SV444 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV443 @ lAnna_THFTYPE_i ) @ ( SV444 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( likes_THFTYPE_IiioI @ ( SV443 @ SX0 ) @ ( SV444 @ SX0 ) ) ) ))]]) ).

thf(4098,plain,
    ! [SV444: $i > $i,SV443: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV443 @ SX0 ) @ ( SV444 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV443 @ lAnna_THFTYPE_i ) @ ( SV444 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( likes_THFTYPE_IiioI @ ( SV443 @ SX0 ) @ ( SV444 @ SX0 ) ) ) ))]]) ).

thf(4099,plain,
    ! [SV440: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV440 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV440 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV440 @ SX0 ) ) ))]]) ).

thf(4100,plain,
    ! [SV440: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV440 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV440 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV440 @ SX0 ) ) ))]]) ).

thf(4101,plain,
    ! [SV462: $i > $i,SV461: $i > $i,SV422: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV422 @ SX0 ) )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV461 @ SX0 ) @ ( SV462 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV461 @ lAnna_THFTYPE_i ) @ ( SV462 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV422 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV422 @ SX0 ) ) @ ~ ( likes_THFTYPE_IiioI @ ( SV461 @ SX0 ) @ ( SV462 @ SX0 ) ) ) ))]]) ).

thf(4102,plain,
    ! [SV462: $i > $i,SV461: $i > $i,SV422: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV422 @ SX0 ) )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV461 @ SX0 ) @ ( SV462 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV461 @ lAnna_THFTYPE_i ) @ ( SV462 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV422 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV422 @ SX0 ) ) @ ~ ( likes_THFTYPE_IiioI @ ( SV461 @ SX0 ) @ ( SV462 @ SX0 ) ) ) ))]]) ).

thf(4103,plain,
    ! [SV458: $i > $o,SV422: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV422 @ SX0 ) )
              @ ~ ( SV458 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV458 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV422 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV422 @ SX0 ) ) @ ~ ( SV458 @ SX0 ) ) ))]]) ).

thf(4104,plain,
    ! [SV458: $i > $o,SV422: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV422 @ SX0 ) )
              @ ~ ( SV458 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV458 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV422 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV422 @ SX0 ) ) @ ~ ( SV458 @ SX0 ) ) ))]]) ).

thf(4105,plain,
    ! [SV429: $i > $i,SV428: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( likes_THFTYPE_IiioI @ ( SV428 @ SX0 ) @ ( SV429 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV428 @ lAnna_THFTYPE_i ) @ ( SV429 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( likes_THFTYPE_IiioI @ ( SV428 @ SX0 ) @ ( SV429 @ SX0 ) ) ) ))]]) ).

thf(4106,plain,
    ! [SV429: $i > $i,SV428: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( likes_THFTYPE_IiioI @ ( SV428 @ SX0 ) @ ( SV429 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV428 @ lAnna_THFTYPE_i ) @ ( SV429 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( likes_THFTYPE_IiioI @ ( SV428 @ SX0 ) @ ( SV429 @ SX0 ) ) ) ))]]) ).

thf(4107,plain,
    ! [SV425: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV425 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV425 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV425 @ SX0 ) ) ))]]) ).

thf(4108,plain,
    ! [SV425: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV425 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV425 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV425 @ SX0 ) ) ))]]) ).

thf(4109,plain,
    ! [SV419: $i > $o,SV418: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV418 @ SX0 ) @ ( SV419 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV418 @ lAnna_THFTYPE_i ) @ ( SV419 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV418 @ SX0 ) @ ( SV419 @ SX0 ) ) ))]]) ).

thf(4110,plain,
    ! [SV419: $i > $o,SV418: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV418 @ SX0 ) @ ( SV419 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV418 @ lAnna_THFTYPE_i ) @ ( SV419 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3957:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV418 @ SX0 ) @ ( SV419 @ SX0 ) ) ))]]) ).

thf(4111,plain,
    ! [SV506: $i > $i,SV505: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV505 @ SX0 ) @ ( SV506 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV505 @ lAnna_THFTYPE_i ) @ ( SV506 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( likes_THFTYPE_IiioI @ ( SV505 @ SX0 ) @ ( SV506 @ SX0 ) ) ) ))]]) ).

thf(4112,plain,
    ! [SV506: $i > $i,SV505: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV505 @ SX0 ) @ ( SV506 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV505 @ lAnna_THFTYPE_i ) @ ( SV506 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( likes_THFTYPE_IiioI @ ( SV505 @ SX0 ) @ ( SV506 @ SX0 ) ) ) ))]]) ).

thf(4113,plain,
    ! [SV502: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV502 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV502 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV502 @ SX0 ) ) ))]]) ).

thf(4114,plain,
    ! [SV502: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV502 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV502 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV502 @ SX0 ) ) ))]]) ).

thf(4115,plain,
    ! [SV497: $i > $i,SV496: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV496 @ SX0 ) @ ( SV497 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV496 @ lAnna_THFTYPE_i ) @ ( SV497 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( likes_THFTYPE_IiioI @ ( SV496 @ SX0 ) @ ( SV497 @ SX0 ) ) ) ))]]) ).

thf(4116,plain,
    ! [SV497: $i > $i,SV496: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV496 @ SX0 ) @ ( SV497 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV496 @ lAnna_THFTYPE_i ) @ ( SV497 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( likes_THFTYPE_IiioI @ ( SV496 @ SX0 ) @ ( SV497 @ SX0 ) ) ) ))]]) ).

thf(4117,plain,
    ! [SV493: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV493 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV493 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV493 @ SX0 ) ) ))]]) ).

thf(4118,plain,
    ! [SV493: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV493 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV493 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV493 @ SX0 ) ) ))]]) ).

thf(4119,plain,
    ! [SV515: $i > $i,SV514: $i > $i,SV475: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV475 @ SX0 ) )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV514 @ SX0 ) @ ( SV515 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV514 @ lAnna_THFTYPE_i ) @ ( SV515 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV475 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV475 @ SX0 ) ) @ ~ ( likes_THFTYPE_IiioI @ ( SV514 @ SX0 ) @ ( SV515 @ SX0 ) ) ) ))]]) ).

thf(4120,plain,
    ! [SV515: $i > $i,SV514: $i > $i,SV475: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV475 @ SX0 ) )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV514 @ SX0 ) @ ( SV515 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV514 @ lAnna_THFTYPE_i ) @ ( SV515 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV475 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV475 @ SX0 ) ) @ ~ ( likes_THFTYPE_IiioI @ ( SV514 @ SX0 ) @ ( SV515 @ SX0 ) ) ) ))]]) ).

thf(4121,plain,
    ! [SV511: $i > $o,SV475: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV475 @ SX0 ) )
              @ ~ ( SV511 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV511 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV475 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV475 @ SX0 ) ) @ ~ ( SV511 @ SX0 ) ) ))]]) ).

thf(4122,plain,
    ! [SV511: $i > $o,SV475: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV475 @ SX0 ) )
              @ ~ ( SV511 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV511 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV475 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV475 @ SX0 ) ) @ ~ ( SV511 @ SX0 ) ) ))]]) ).

thf(4123,plain,
    ! [SV482: $i > $i,SV481: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( likes_THFTYPE_IiioI @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV481 @ lAnna_THFTYPE_i ) @ ( SV482 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( likes_THFTYPE_IiioI @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) ) ) ))]]) ).

thf(4124,plain,
    ! [SV482: $i > $i,SV481: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( likes_THFTYPE_IiioI @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV481 @ lAnna_THFTYPE_i ) @ ( SV482 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( likes_THFTYPE_IiioI @ ( SV481 @ SX0 ) @ ( SV482 @ SX0 ) ) ) ))]]) ).

thf(4125,plain,
    ! [SV478: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV478 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV478 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV478 @ SX0 ) ) ))]]) ).

thf(4126,plain,
    ! [SV478: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV478 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV478 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV478 @ SX0 ) ) ))]]) ).

thf(4127,plain,
    ! [SV472: $i > $o,SV471: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV471 @ SX0 ) @ ( SV472 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV471 @ lAnna_THFTYPE_i ) @ ( SV472 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV471 @ SX0 ) @ ( SV472 @ SX0 ) ) ))]]) ).

thf(4128,plain,
    ! [SV472: $i > $o,SV471: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV471 @ SX0 ) @ ( SV472 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV471 @ lAnna_THFTYPE_i ) @ ( SV472 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3956:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV471 @ SX0 ) @ ( SV472 @ SX0 ) ) ))]]) ).

thf(4129,plain,
    ! [SV559: $i > $i,SV558: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV558 @ SX0 ) @ ( SV559 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV558 @ lAnna_THFTYPE_i ) @ ( SV559 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( parent_THFTYPE_IiioI @ ( SV558 @ SX0 ) @ ( SV559 @ SX0 ) ) ) ))]]) ).

thf(4130,plain,
    ! [SV559: $i > $i,SV558: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV558 @ SX0 ) @ ( SV559 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV558 @ lAnna_THFTYPE_i ) @ ( SV559 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( parent_THFTYPE_IiioI @ ( SV558 @ SX0 ) @ ( SV559 @ SX0 ) ) ) ))]]) ).

thf(4131,plain,
    ! [SV555: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV555 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV555 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV555 @ SX0 ) ) ))]]) ).

thf(4132,plain,
    ! [SV555: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV555 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV555 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV555 @ SX0 ) ) ))]]) ).

thf(4133,plain,
    ! [SV550: $i > $i,SV549: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV549 @ SX0 ) @ ( SV550 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV549 @ lAnna_THFTYPE_i ) @ ( SV550 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( parent_THFTYPE_IiioI @ ( SV549 @ SX0 ) @ ( SV550 @ SX0 ) ) ) ))]]) ).

thf(4134,plain,
    ! [SV550: $i > $i,SV549: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV549 @ SX0 ) @ ( SV550 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV549 @ lAnna_THFTYPE_i ) @ ( SV550 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( parent_THFTYPE_IiioI @ ( SV549 @ SX0 ) @ ( SV550 @ SX0 ) ) ) ))]]) ).

thf(4135,plain,
    ! [SV546: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV546 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV546 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV546 @ SX0 ) ) ))]]) ).

thf(4136,plain,
    ! [SV546: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV546 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV546 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV546 @ SX0 ) ) ))]]) ).

thf(4137,plain,
    ! [SV568: $i > $i,SV567: $i > $i,SV528: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV528 @ SX0 ) )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV567 @ SX0 ) @ ( SV568 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV567 @ lAnna_THFTYPE_i ) @ ( SV568 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV528 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV528 @ SX0 ) ) @ ~ ( parent_THFTYPE_IiioI @ ( SV567 @ SX0 ) @ ( SV568 @ SX0 ) ) ) ))]]) ).

thf(4138,plain,
    ! [SV568: $i > $i,SV567: $i > $i,SV528: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV528 @ SX0 ) )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV567 @ SX0 ) @ ( SV568 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV567 @ lAnna_THFTYPE_i ) @ ( SV568 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV528 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV528 @ SX0 ) ) @ ~ ( parent_THFTYPE_IiioI @ ( SV567 @ SX0 ) @ ( SV568 @ SX0 ) ) ) ))]]) ).

thf(4139,plain,
    ! [SV564: $i > $o,SV528: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV528 @ SX0 ) )
              @ ~ ( SV564 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV564 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV528 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV528 @ SX0 ) ) @ ~ ( SV564 @ SX0 ) ) ))]]) ).

thf(4140,plain,
    ! [SV564: $i > $o,SV528: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV528 @ SX0 ) )
              @ ~ ( SV564 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV564 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV528 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV528 @ SX0 ) ) @ ~ ( SV564 @ SX0 ) ) ))]]) ).

thf(4141,plain,
    ! [SV535: $i > $i,SV534: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( parent_THFTYPE_IiioI @ ( SV534 @ SX0 ) @ ( SV535 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV534 @ lAnna_THFTYPE_i ) @ ( SV535 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( parent_THFTYPE_IiioI @ ( SV534 @ SX0 ) @ ( SV535 @ SX0 ) ) ) ))]]) ).

thf(4142,plain,
    ! [SV535: $i > $i,SV534: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( parent_THFTYPE_IiioI @ ( SV534 @ SX0 ) @ ( SV535 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV534 @ lAnna_THFTYPE_i ) @ ( SV535 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( parent_THFTYPE_IiioI @ ( SV534 @ SX0 ) @ ( SV535 @ SX0 ) ) ) ))]]) ).

thf(4143,plain,
    ! [SV531: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV531 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV531 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV531 @ SX0 ) ) ))]]) ).

thf(4144,plain,
    ! [SV531: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV531 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV531 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV531 @ SX0 ) ) ))]]) ).

thf(4145,plain,
    ! [SV525: $i > $o,SV524: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV524 @ SX0 ) @ ( SV525 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV524 @ lAnna_THFTYPE_i ) @ ( SV525 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV524 @ SX0 ) @ ( SV525 @ SX0 ) ) ))]]) ).

thf(4146,plain,
    ! [SV525: $i > $o,SV524: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV524 @ SX0 ) @ ( SV525 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV524 @ lAnna_THFTYPE_i ) @ ( SV525 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3955:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV524 @ SX0 ) @ ( SV525 @ SX0 ) ) ))]]) ).

thf(4147,plain,
    ! [SV612: $i > $i,SV611: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV611 @ SX0 ) @ ( SV612 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV611 @ lAnna_THFTYPE_i ) @ ( SV612 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( likes_THFTYPE_IiioI @ ( SV611 @ SX0 ) @ ( SV612 @ SX0 ) ) ) ))]]) ).

thf(4148,plain,
    ! [SV612: $i > $i,SV611: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV611 @ SX0 ) @ ( SV612 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV611 @ lAnna_THFTYPE_i ) @ ( SV612 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( likes_THFTYPE_IiioI @ ( SV611 @ SX0 ) @ ( SV612 @ SX0 ) ) ) ))]]) ).

thf(4149,plain,
    ! [SV608: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV608 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV608 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV608 @ SX0 ) ) ))]]) ).

thf(4150,plain,
    ! [SV608: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV608 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV608 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV608 @ SX0 ) ) ))]]) ).

thf(4151,plain,
    ! [SV603: $i > $i,SV602: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV602 @ SX0 ) @ ( SV603 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV602 @ lAnna_THFTYPE_i ) @ ( SV603 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( likes_THFTYPE_IiioI @ ( SV602 @ SX0 ) @ ( SV603 @ SX0 ) ) ) ))]]) ).

thf(4152,plain,
    ! [SV603: $i > $i,SV602: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV602 @ SX0 ) @ ( SV603 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV602 @ lAnna_THFTYPE_i ) @ ( SV603 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( likes_THFTYPE_IiioI @ ( SV602 @ SX0 ) @ ( SV603 @ SX0 ) ) ) ))]]) ).

thf(4153,plain,
    ! [SV599: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV599 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV599 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV599 @ SX0 ) ) ))]]) ).

thf(4154,plain,
    ! [SV599: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV599 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV599 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV599 @ SX0 ) ) ))]]) ).

thf(4155,plain,
    ! [SV621: $i > $i,SV620: $i > $i,SV581: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV581 @ SX0 ) )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV620 @ SX0 ) @ ( SV621 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV620 @ lAnna_THFTYPE_i ) @ ( SV621 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV581 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV581 @ SX0 ) ) @ ~ ( likes_THFTYPE_IiioI @ ( SV620 @ SX0 ) @ ( SV621 @ SX0 ) ) ) ))]]) ).

thf(4156,plain,
    ! [SV621: $i > $i,SV620: $i > $i,SV581: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV581 @ SX0 ) )
              @ ~ ( likes_THFTYPE_IiioI @ ( SV620 @ SX0 ) @ ( SV621 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV620 @ lAnna_THFTYPE_i ) @ ( SV621 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV581 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV581 @ SX0 ) ) @ ~ ( likes_THFTYPE_IiioI @ ( SV620 @ SX0 ) @ ( SV621 @ SX0 ) ) ) ))]]) ).

thf(4157,plain,
    ! [SV617: $i > $o,SV581: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV581 @ SX0 ) )
              @ ~ ( SV617 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV617 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV581 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV581 @ SX0 ) ) @ ~ ( SV617 @ SX0 ) ) ))]]) ).

thf(4158,plain,
    ! [SV617: $i > $o,SV581: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV581 @ SX0 ) )
              @ ~ ( SV617 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV617 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV581 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV581 @ SX0 ) ) @ ~ ( SV617 @ SX0 ) ) ))]]) ).

thf(4159,plain,
    ! [SV588: $i > $i,SV587: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( likes_THFTYPE_IiioI @ ( SV587 @ SX0 ) @ ( SV588 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV587 @ lAnna_THFTYPE_i ) @ ( SV588 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( likes_THFTYPE_IiioI @ ( SV587 @ SX0 ) @ ( SV588 @ SX0 ) ) ) ))]]) ).

thf(4160,plain,
    ! [SV588: $i > $i,SV587: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( likes_THFTYPE_IiioI @ ( SV587 @ SX0 ) @ ( SV588 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV587 @ lAnna_THFTYPE_i ) @ ( SV588 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( likes_THFTYPE_IiioI @ ( SV587 @ SX0 ) @ ( SV588 @ SX0 ) ) ) ))]]) ).

thf(4161,plain,
    ! [SV584: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV584 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV584 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV584 @ SX0 ) ) ))]]) ).

thf(4162,plain,
    ! [SV584: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV584 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV584 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV584 @ SX0 ) ) ))]]) ).

thf(4163,plain,
    ! [SV578: $i > $o,SV577: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV577 @ SX0 ) @ ( SV578 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV577 @ lAnna_THFTYPE_i ) @ ( SV578 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV577 @ SX0 ) @ ( SV578 @ SX0 ) ) ))]]) ).

thf(4164,plain,
    ! [SV578: $i > $o,SV577: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV577 @ SX0 ) @ ( SV578 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV577 @ lAnna_THFTYPE_i ) @ ( SV578 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3954:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV577 @ SX0 ) @ ( SV578 @ SX0 ) ) ))]]) ).

thf(4165,plain,
    ! [SV664: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV664 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV664 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( ~ ( SV664 @ SX0 ) ) ) ))]]) ).

thf(4166,plain,
    ! [SV664: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV664 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV664 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( ~ ( SV664 @ SX0 ) ) ) ))]]) ).

thf(4167,plain,
    ! [SV661: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV661 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV661 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV661 @ SX0 ) ) ))]]) ).

thf(4168,plain,
    ! [SV661: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV661 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV661 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV661 @ SX0 ) ) ))]]) ).

thf(4169,plain,
    ! [SV654: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV654 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV654 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( ~ ( SV654 @ SX0 ) ) ) ))]]) ).

thf(4170,plain,
    ! [SV654: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV654 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV654 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( ~ ( SV654 @ SX0 ) ) ) ))]]) ).

thf(4171,plain,
    ! [SV651: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV651 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV651 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV651 @ SX0 ) ) ))]]) ).

thf(4172,plain,
    ! [SV651: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV651 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV651 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV651 @ SX0 ) ) ))]]) ).

thf(4173,plain,
    ! [SV678: $i > $i,SV677: $i > $i,SV634: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ~ ( parent_THFTYPE_IiioI @ ( SV677 @ SX0 ) @ ( SV678 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV677 @ lAnna_THFTYPE_i ) @ ( SV678 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) ) @ ~ ( ~ ( parent_THFTYPE_IiioI @ ( SV677 @ SX0 ) @ ( SV678 @ SX0 ) ) ) ) ))]]) ).

thf(4174,plain,
    ! [SV678: $i > $i,SV677: $i > $i,SV634: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ~ ( parent_THFTYPE_IiioI @ ( SV677 @ SX0 ) @ ( SV678 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV677 @ lAnna_THFTYPE_i ) @ ( SV678 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) ) @ ~ ( ~ ( parent_THFTYPE_IiioI @ ( SV677 @ SX0 ) @ ( SV678 @ SX0 ) ) ) ) ))]]) ).

thf(4175,plain,
    ! [SV674: $i > $o,SV634: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ~ ( SV674 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV674 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) ) @ ~ ( ~ ( SV674 @ SX0 ) ) ) ))]]) ).

thf(4176,plain,
    ! [SV674: $i > $o,SV634: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ~ ( SV674 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV674 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) ) @ ~ ( ~ ( SV674 @ SX0 ) ) ) ))]]) ).

thf(4177,plain,
    ! [SV671: $i > $o,SV634: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ( SV671 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV671 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) ) @ ~ ( SV671 @ SX0 ) ) ))]]) ).

thf(4178,plain,
    ! [SV671: $i > $o,SV634: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ( SV671 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV671 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) ) @ ~ ( SV671 @ SX0 ) ) ))]]) ).

thf(4179,plain,
    ! [SV644: $i > $i,SV643: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( parent_THFTYPE_IiioI @ ( SV643 @ SX0 ) @ ( SV644 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV643 @ lAnna_THFTYPE_i ) @ ( SV644 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ~ ( parent_THFTYPE_IiioI @ ( SV643 @ SX0 ) @ ( SV644 @ SX0 ) ) ) ) ))]]) ).

thf(4180,plain,
    ! [SV644: $i > $i,SV643: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( parent_THFTYPE_IiioI @ ( SV643 @ SX0 ) @ ( SV644 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV643 @ lAnna_THFTYPE_i ) @ ( SV644 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ~ ( parent_THFTYPE_IiioI @ ( SV643 @ SX0 ) @ ( SV644 @ SX0 ) ) ) ) ))]]) ).

thf(4181,plain,
    ! [SV640: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV640 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV640 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ~ ( SV640 @ SX0 ) ) ) ))]]) ).

thf(4182,plain,
    ! [SV640: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV640 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV640 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ~ ( SV640 @ SX0 ) ) ) ))]]) ).

thf(4183,plain,
    ! [SV637: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV637 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV637 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV637 @ SX0 ) ) ))]]) ).

thf(4184,plain,
    ! [SV637: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV637 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV637 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV637 @ SX0 ) ) ))]]) ).

thf(4185,plain,
    ! [SV631: $i > $o,SV630: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV630 @ SX0 ) @ ( SV631 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV630 @ lAnna_THFTYPE_i ) @ ( SV631 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV630 @ SX0 ) @ ( SV631 @ SX0 ) ) ))]]) ).

thf(4186,plain,
    ! [SV631: $i > $o,SV630: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV630 @ SX0 ) @ ( SV631 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV630 @ lAnna_THFTYPE_i ) @ ( SV631 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3953:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV630 @ SX0 ) @ ( SV631 @ SX0 ) ) ))]]) ).

thf(4187,plain,
    ! [SV713: $i > $i,SV712: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ( parent_THFTYPE_IiioI @ ( SV712 @ SX0 ) @ ( SV713 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV712 @ lAnna_THFTYPE_i ) @ ( SV713 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ( parent_THFTYPE_IiioI @ ( SV712 @ SX0 ) @ ( SV713 @ SX0 ) ) ) ))]]) ).

thf(4188,plain,
    ! [SV713: $i > $i,SV712: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ( parent_THFTYPE_IiioI @ ( SV712 @ SX0 ) @ ( SV713 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV712 @ lAnna_THFTYPE_i ) @ ( SV713 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ( parent_THFTYPE_IiioI @ ( SV712 @ SX0 ) @ ( SV713 @ SX0 ) ) ) ))]]) ).

thf(4189,plain,
    ! [SV703: $i > $i,SV702: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ ( SV702 @ SX0 ) @ ( SV703 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV702 @ lAnna_THFTYPE_i ) @ ( SV703 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ ( SV702 @ SX0 ) @ ( SV703 @ SX0 ) ) ) ))]]) ).

thf(4190,plain,
    ! [SV703: $i > $i,SV702: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ ( SV702 @ SX0 ) @ ( SV703 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV702 @ lAnna_THFTYPE_i ) @ ( SV703 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ ( SV702 @ SX0 ) @ ( SV703 @ SX0 ) ) ) ))]]) ).

thf(4191,plain,
    ! [SV687: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV687 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ SX0 @ SX0 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV687 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV687 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ SX0 @ SX0 ) ) ))]]) ).

thf(4192,plain,
    ! [SV687: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV687 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ SX0 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV687 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV687 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ SX0 @ lAnna_THFTYPE_i ) ) ))]]) ).

thf(4193,plain,
    ! [SV687: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV687 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ SX0 ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV687 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV687 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ SX0 ) ) ))]]) ).

thf(4194,plain,
    ! [SV687: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV687 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV687 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV687 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ))]]) ).

thf(4195,plain,
    ! [SV723: $i > $i,SV722: $i > $i,SV687: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV687 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ ( SV722 @ SX0 ) @ ( SV723 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV722 @ lAnna_THFTYPE_i ) @ ( SV723 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV687 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV687 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ ( SV722 @ SX0 ) @ ( SV723 @ SX0 ) ) ) ))]]) ).

thf(4196,plain,
    ! [SV723: $i > $i,SV722: $i > $i,SV687: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV687 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ ( SV722 @ SX0 ) @ ( SV723 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV722 @ lAnna_THFTYPE_i ) @ ( SV723 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV687 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV687 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ ( SV722 @ SX0 ) @ ( SV723 @ SX0 ) ) ) ))]]) ).

thf(4197,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ SX0 @ SX0 ) ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i
        = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ SX0 @ SX0 ) ) ))]]) ).

thf(4198,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ SX0 @ lAnna_THFTYPE_i ) ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i
        = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ SX0 @ lAnna_THFTYPE_i ) ) ))]]) ).

thf(4199,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ SX0 ) ) )
      = $false )
    | ( ( lAnna_THFTYPE_i
        = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ SX0 ) ) ))]]) ).

thf(4200,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false )
    | ( ( lAnna_THFTYPE_i
        = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ))]]) ).

thf(4201,plain,
    ! [SV691: $i > $i,SV690: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ ( SV690 @ SX0 ) @ ( SV691 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV690 @ lAnna_THFTYPE_i ) @ ( SV691 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ ( SV690 @ SX0 ) @ ( SV691 @ SX0 ) ) ) ))]]) ).

thf(4202,plain,
    ! [SV691: $i > $i,SV690: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ ( SV690 @ SX0 ) @ ( SV691 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV690 @ lAnna_THFTYPE_i ) @ ( SV691 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ ( SV690 @ SX0 ) @ ( SV691 @ SX0 ) ) ) ))]]) ).

thf(4203,plain,
    ! [SV684: $i > $o,SV683: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV683 @ SX0 ) @ ( SV684 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV683 @ lAnna_THFTYPE_i ) @ ( SV684 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV683 @ SX0 ) @ ( SV684 @ SX0 ) ) ))]]) ).

thf(4204,plain,
    ! [SV684: $i > $o,SV683: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV683 @ SX0 ) @ ( SV684 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV683 @ lAnna_THFTYPE_i ) @ ( SV684 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3952:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV683 @ SX0 ) @ ( SV684 @ SX0 ) ) ))]]) ).

thf(4205,plain,
    ! [SV767: $i > $i,SV766: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV766 @ SX0 ) @ ( SV767 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV766 @ lAnna_THFTYPE_i ) @ ( SV767 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( parent_THFTYPE_IiioI @ ( SV766 @ SX0 ) @ ( SV767 @ SX0 ) ) ) ))]]) ).

thf(4206,plain,
    ! [SV767: $i > $i,SV766: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV766 @ SX0 ) @ ( SV767 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV766 @ lAnna_THFTYPE_i ) @ ( SV767 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( parent_THFTYPE_IiioI @ ( SV766 @ SX0 ) @ ( SV767 @ SX0 ) ) ) ))]]) ).

thf(4207,plain,
    ! [SV763: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV763 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV763 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV763 @ SX0 ) ) ))]]) ).

thf(4208,plain,
    ! [SV763: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV763 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV763 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV763 @ SX0 ) ) ))]]) ).

thf(4209,plain,
    ! [SV758: $i > $i,SV757: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV757 @ SX0 ) @ ( SV758 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV757 @ lAnna_THFTYPE_i ) @ ( SV758 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( parent_THFTYPE_IiioI @ ( SV757 @ SX0 ) @ ( SV758 @ SX0 ) ) ) ))]]) ).

thf(4210,plain,
    ! [SV758: $i > $i,SV757: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV757 @ SX0 ) @ ( SV758 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV757 @ lAnna_THFTYPE_i ) @ ( SV758 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( parent_THFTYPE_IiioI @ ( SV757 @ SX0 ) @ ( SV758 @ SX0 ) ) ) ))]]) ).

thf(4211,plain,
    ! [SV754: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV754 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV754 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV754 @ SX0 ) ) ))]]) ).

thf(4212,plain,
    ! [SV754: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV754 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV754 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV754 @ SX0 ) ) ))]]) ).

thf(4213,plain,
    ! [SV776: $i > $i,SV775: $i > $i,SV736: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV736 @ SX0 ) )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV775 @ SX0 ) @ ( SV776 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV775 @ lAnna_THFTYPE_i ) @ ( SV776 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV736 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV736 @ SX0 ) ) @ ~ ( parent_THFTYPE_IiioI @ ( SV775 @ SX0 ) @ ( SV776 @ SX0 ) ) ) ))]]) ).

thf(4214,plain,
    ! [SV776: $i > $i,SV775: $i > $i,SV736: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV736 @ SX0 ) )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV775 @ SX0 ) @ ( SV776 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV775 @ lAnna_THFTYPE_i ) @ ( SV776 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV736 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV736 @ SX0 ) ) @ ~ ( parent_THFTYPE_IiioI @ ( SV775 @ SX0 ) @ ( SV776 @ SX0 ) ) ) ))]]) ).

thf(4215,plain,
    ! [SV772: $i > $o,SV736: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV736 @ SX0 ) )
              @ ~ ( SV772 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV772 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV736 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV736 @ SX0 ) ) @ ~ ( SV772 @ SX0 ) ) ))]]) ).

thf(4216,plain,
    ! [SV772: $i > $o,SV736: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV736 @ SX0 ) )
              @ ~ ( SV772 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV772 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV736 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV736 @ SX0 ) ) @ ~ ( SV772 @ SX0 ) ) ))]]) ).

thf(4217,plain,
    ! [SV743: $i > $i,SV742: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( parent_THFTYPE_IiioI @ ( SV742 @ SX0 ) @ ( SV743 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV742 @ lAnna_THFTYPE_i ) @ ( SV743 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( parent_THFTYPE_IiioI @ ( SV742 @ SX0 ) @ ( SV743 @ SX0 ) ) ) ))]]) ).

thf(4218,plain,
    ! [SV743: $i > $i,SV742: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( parent_THFTYPE_IiioI @ ( SV742 @ SX0 ) @ ( SV743 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV742 @ lAnna_THFTYPE_i ) @ ( SV743 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( parent_THFTYPE_IiioI @ ( SV742 @ SX0 ) @ ( SV743 @ SX0 ) ) ) ))]]) ).

thf(4219,plain,
    ! [SV739: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV739 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV739 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV739 @ SX0 ) ) ))]]) ).

thf(4220,plain,
    ! [SV739: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV739 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV739 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV739 @ SX0 ) ) ))]]) ).

thf(4221,plain,
    ! [SV733: $i > $o,SV732: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV732 @ SX0 ) @ ( SV733 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV732 @ lAnna_THFTYPE_i ) @ ( SV733 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV732 @ SX0 ) @ ( SV733 @ SX0 ) ) ))]]) ).

thf(4222,plain,
    ! [SV733: $i > $o,SV732: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV732 @ SX0 ) @ ( SV733 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV732 @ lAnna_THFTYPE_i ) @ ( SV733 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3951:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV732 @ SX0 ) @ ( SV733 @ SX0 ) ) ))]]) ).

thf(4223,plain,
    ! [SV819: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV819 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV819 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( ~ ( SV819 @ SX0 ) ) ) ))]]) ).

thf(4224,plain,
    ! [SV819: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV819 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV819 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( ~ ( SV819 @ SX0 ) ) ) ))]]) ).

thf(4225,plain,
    ! [SV816: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV816 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV816 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV816 @ SX0 ) ) ))]]) ).

thf(4226,plain,
    ! [SV816: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV816 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV816 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV816 @ SX0 ) ) ))]]) ).

thf(4227,plain,
    ! [SV809: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV809 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV809 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( ~ ( SV809 @ SX0 ) ) ) ))]]) ).

thf(4228,plain,
    ! [SV809: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV809 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV809 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( ~ ( SV809 @ SX0 ) ) ) ))]]) ).

thf(4229,plain,
    ! [SV806: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV806 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV806 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV806 @ SX0 ) ) ))]]) ).

thf(4230,plain,
    ! [SV806: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV806 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV806 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV806 @ SX0 ) ) ))]]) ).

thf(4231,plain,
    ! [SV833: $i > $i,SV832: $i > $i,SV789: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ~ ( parent_THFTYPE_IiioI @ ( SV832 @ SX0 ) @ ( SV833 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV832 @ lAnna_THFTYPE_i ) @ ( SV833 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) ) @ ~ ( ~ ( parent_THFTYPE_IiioI @ ( SV832 @ SX0 ) @ ( SV833 @ SX0 ) ) ) ) ))]]) ).

thf(4232,plain,
    ! [SV833: $i > $i,SV832: $i > $i,SV789: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ~ ( parent_THFTYPE_IiioI @ ( SV832 @ SX0 ) @ ( SV833 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV832 @ lAnna_THFTYPE_i ) @ ( SV833 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) ) @ ~ ( ~ ( parent_THFTYPE_IiioI @ ( SV832 @ SX0 ) @ ( SV833 @ SX0 ) ) ) ) ))]]) ).

thf(4233,plain,
    ! [SV829: $i > $o,SV789: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ~ ( SV829 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV829 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) ) @ ~ ( ~ ( SV829 @ SX0 ) ) ) ))]]) ).

thf(4234,plain,
    ! [SV829: $i > $o,SV789: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ~ ( SV829 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV829 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) ) @ ~ ( ~ ( SV829 @ SX0 ) ) ) ))]]) ).

thf(4235,plain,
    ! [SV826: $i > $o,SV789: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ( SV826 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV826 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) ) @ ~ ( SV826 @ SX0 ) ) ))]]) ).

thf(4236,plain,
    ! [SV826: $i > $o,SV789: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ( SV826 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV826 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) ) @ ~ ( SV826 @ SX0 ) ) ))]]) ).

thf(4237,plain,
    ! [SV799: $i > $i,SV798: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( parent_THFTYPE_IiioI @ ( SV798 @ SX0 ) @ ( SV799 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV798 @ lAnna_THFTYPE_i ) @ ( SV799 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ~ ( parent_THFTYPE_IiioI @ ( SV798 @ SX0 ) @ ( SV799 @ SX0 ) ) ) ) ))]]) ).

thf(4238,plain,
    ! [SV799: $i > $i,SV798: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( parent_THFTYPE_IiioI @ ( SV798 @ SX0 ) @ ( SV799 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV798 @ lAnna_THFTYPE_i ) @ ( SV799 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ~ ( parent_THFTYPE_IiioI @ ( SV798 @ SX0 ) @ ( SV799 @ SX0 ) ) ) ) ))]]) ).

thf(4239,plain,
    ! [SV795: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV795 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV795 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ~ ( SV795 @ SX0 ) ) ) ))]]) ).

thf(4240,plain,
    ! [SV795: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV795 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV795 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ~ ( SV795 @ SX0 ) ) ) ))]]) ).

thf(4241,plain,
    ! [SV792: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV792 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV792 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV792 @ SX0 ) ) ))]]) ).

thf(4242,plain,
    ! [SV792: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV792 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV792 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV792 @ SX0 ) ) ))]]) ).

thf(4243,plain,
    ! [SV786: $i > $o,SV785: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV785 @ SX0 ) @ ( SV786 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV785 @ lAnna_THFTYPE_i ) @ ( SV786 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV785 @ SX0 ) @ ( SV786 @ SX0 ) ) ))]]) ).

thf(4244,plain,
    ! [SV786: $i > $o,SV785: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV785 @ SX0 ) @ ( SV786 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV785 @ lAnna_THFTYPE_i ) @ ( SV786 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3950:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV785 @ SX0 ) @ ( SV786 @ SX0 ) ) ))]]) ).

thf(4245,plain,
    ! [SV868: $i > $i,SV867: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ( parent_THFTYPE_IiioI @ ( SV867 @ SX0 ) @ ( SV868 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV867 @ lAnna_THFTYPE_i ) @ ( SV868 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ( parent_THFTYPE_IiioI @ ( SV867 @ SX0 ) @ ( SV868 @ SX0 ) ) ) ))]]) ).

thf(4246,plain,
    ! [SV868: $i > $i,SV867: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ( parent_THFTYPE_IiioI @ ( SV867 @ SX0 ) @ ( SV868 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV867 @ lAnna_THFTYPE_i ) @ ( SV868 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ( parent_THFTYPE_IiioI @ ( SV867 @ SX0 ) @ ( SV868 @ SX0 ) ) ) ))]]) ).

thf(4247,plain,
    ! [SV858: $i > $i,SV857: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ ( SV857 @ SX0 ) @ ( SV858 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV857 @ lAnna_THFTYPE_i ) @ ( SV858 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ ( SV857 @ SX0 ) @ ( SV858 @ SX0 ) ) ) ))]]) ).

thf(4248,plain,
    ! [SV858: $i > $i,SV857: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ ( SV857 @ SX0 ) @ ( SV858 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV857 @ lAnna_THFTYPE_i ) @ ( SV858 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ ( SV857 @ SX0 ) @ ( SV858 @ SX0 ) ) ) ))]]) ).

thf(4249,plain,
    ! [SV842: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV842 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ SX0 @ SX0 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = lBen_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV842 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV842 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ SX0 @ SX0 ) ) ))]]) ).

thf(4250,plain,
    ! [SV842: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV842 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ SX0 @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV842 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV842 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ SX0 @ lBen_THFTYPE_i ) ) ))]]) ).

thf(4251,plain,
    ! [SV842: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV842 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ SX0 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = lBen_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV842 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV842 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ SX0 ) ) ))]]) ).

thf(4252,plain,
    ! [SV842: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV842 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV842 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV842 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) ))]]) ).

thf(4253,plain,
    ! [SV878: $i > $i,SV877: $i > $i,SV842: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV842 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ ( SV877 @ SX0 ) @ ( SV878 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV877 @ lAnna_THFTYPE_i ) @ ( SV878 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV842 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV842 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ ( SV877 @ SX0 ) @ ( SV878 @ SX0 ) ) ) ))]]) ).

thf(4254,plain,
    ! [SV878: $i > $i,SV877: $i > $i,SV842: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV842 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ ( SV877 @ SX0 ) @ ( SV878 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV877 @ lAnna_THFTYPE_i ) @ ( SV878 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV842 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV842 @ SX0 ) ) @ ( parent_THFTYPE_IiioI @ ( SV877 @ SX0 ) @ ( SV878 @ SX0 ) ) ) ))]]) ).

thf(4255,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ SX0 @ SX0 ) ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBen_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i
        = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ SX0 @ SX0 ) ) ))]]) ).

thf(4256,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ SX0 @ lBen_THFTYPE_i ) ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i
        = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ SX0 @ lBen_THFTYPE_i ) ) ))]]) ).

thf(4257,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ SX0 ) ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBen_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i
        = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ SX0 ) ) ))]]) ).

thf(4258,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false )
    | ( ( lAnna_THFTYPE_i
        = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) ))]]) ).

thf(4259,plain,
    ! [SV846: $i > $i,SV845: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ ( SV845 @ SX0 ) @ ( SV846 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV845 @ lAnna_THFTYPE_i ) @ ( SV846 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ ( SV845 @ SX0 ) @ ( SV846 @ SX0 ) ) ) ))]]) ).

thf(4260,plain,
    ! [SV846: $i > $i,SV845: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ ( SV845 @ SX0 ) @ ( SV846 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV845 @ lAnna_THFTYPE_i ) @ ( SV846 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( parent_THFTYPE_IiioI @ ( SV845 @ SX0 ) @ ( SV846 @ SX0 ) ) ) ))]]) ).

thf(4261,plain,
    ! [SV839: $i > $o,SV838: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV838 @ SX0 ) @ ( SV839 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV838 @ lAnna_THFTYPE_i ) @ ( SV839 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV838 @ SX0 ) @ ( SV839 @ SX0 ) ) ))]]) ).

thf(4262,plain,
    ! [SV839: $i > $o,SV838: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV838 @ SX0 ) @ ( SV839 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV838 @ lAnna_THFTYPE_i ) @ ( SV839 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3949:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV838 @ SX0 ) @ ( SV839 @ SX0 ) ) ))]]) ).

thf(4263,plain,
    ! [SV921: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV921 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV921 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( ~ ( SV921 @ SX0 ) ) ) ))]]) ).

thf(4264,plain,
    ! [SV921: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV921 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV921 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( ~ ( SV921 @ SX0 ) ) ) ))]]) ).

thf(4265,plain,
    ! [SV918: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV918 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV918 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV918 @ SX0 ) ) ))]]) ).

thf(4266,plain,
    ! [SV918: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV918 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV918 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV918 @ SX0 ) ) ))]]) ).

thf(4267,plain,
    ! [SV911: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV911 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV911 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( ~ ( SV911 @ SX0 ) ) ) ))]]) ).

thf(4268,plain,
    ! [SV911: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV911 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV911 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( ~ ( SV911 @ SX0 ) ) ) ))]]) ).

thf(4269,plain,
    ! [SV908: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV908 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV908 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV908 @ SX0 ) ) ))]]) ).

thf(4270,plain,
    ! [SV908: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV908 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV908 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV908 @ SX0 ) ) ))]]) ).

thf(4271,plain,
    ! [SV935: $i > $i,SV934: $i > $i,SV891: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ~ ( likes_THFTYPE_IiioI @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV934 @ lAnna_THFTYPE_i ) @ ( SV935 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) ) @ ~ ( ~ ( likes_THFTYPE_IiioI @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) ) ) ) ))]]) ).

thf(4272,plain,
    ! [SV935: $i > $i,SV934: $i > $i,SV891: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ~ ( likes_THFTYPE_IiioI @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV934 @ lAnna_THFTYPE_i ) @ ( SV935 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) ) @ ~ ( ~ ( likes_THFTYPE_IiioI @ ( SV934 @ SX0 ) @ ( SV935 @ SX0 ) ) ) ) ))]]) ).

thf(4273,plain,
    ! [SV931: $i > $o,SV891: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ~ ( SV931 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV931 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) ) @ ~ ( ~ ( SV931 @ SX0 ) ) ) ))]]) ).

thf(4274,plain,
    ! [SV931: $i > $o,SV891: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ~ ( SV931 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV931 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) ) @ ~ ( ~ ( SV931 @ SX0 ) ) ) ))]]) ).

thf(4275,plain,
    ! [SV928: $i > $o,SV891: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ( SV928 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV928 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) ) @ ~ ( SV928 @ SX0 ) ) ))]]) ).

thf(4276,plain,
    ! [SV928: $i > $o,SV891: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ( SV928 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV928 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) ) @ ~ ( SV928 @ SX0 ) ) ))]]) ).

thf(4277,plain,
    ! [SV901: $i > $i,SV900: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( likes_THFTYPE_IiioI @ ( SV900 @ SX0 ) @ ( SV901 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV900 @ lAnna_THFTYPE_i ) @ ( SV901 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ~ ( likes_THFTYPE_IiioI @ ( SV900 @ SX0 ) @ ( SV901 @ SX0 ) ) ) ) ))]]) ).

thf(4278,plain,
    ! [SV901: $i > $i,SV900: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( likes_THFTYPE_IiioI @ ( SV900 @ SX0 ) @ ( SV901 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV900 @ lAnna_THFTYPE_i ) @ ( SV901 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ~ ( likes_THFTYPE_IiioI @ ( SV900 @ SX0 ) @ ( SV901 @ SX0 ) ) ) ) ))]]) ).

thf(4279,plain,
    ! [SV897: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV897 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV897 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ~ ( SV897 @ SX0 ) ) ) ))]]) ).

thf(4280,plain,
    ! [SV897: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV897 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV897 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( ~ ( SV897 @ SX0 ) ) ) ))]]) ).

thf(4281,plain,
    ! [SV894: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV894 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV894 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV894 @ SX0 ) ) ))]]) ).

thf(4282,plain,
    ! [SV894: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV894 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV894 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV894 @ SX0 ) ) ))]]) ).

thf(4283,plain,
    ! [SV888: $i > $o,SV887: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV887 @ SX0 ) @ ( SV888 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV887 @ lAnna_THFTYPE_i ) @ ( SV888 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV887 @ SX0 ) @ ( SV888 @ SX0 ) ) ))]]) ).

thf(4284,plain,
    ! [SV888: $i > $o,SV887: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV887 @ SX0 ) @ ( SV888 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV887 @ lAnna_THFTYPE_i ) @ ( SV888 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3948:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV887 @ SX0 ) @ ( SV888 @ SX0 ) ) ))]]) ).

thf(4285,plain,
    ! [SV970: $i > $i,SV969: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ( likes_THFTYPE_IiioI @ ( SV969 @ SX0 ) @ ( SV970 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV969 @ lAnna_THFTYPE_i ) @ ( SV970 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ( likes_THFTYPE_IiioI @ ( SV969 @ SX0 ) @ ( SV970 @ SX0 ) ) ) ))]]) ).

thf(4286,plain,
    ! [SV970: $i > $i,SV969: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ( likes_THFTYPE_IiioI @ ( SV969 @ SX0 ) @ ( SV970 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV969 @ lAnna_THFTYPE_i ) @ ( SV970 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ( likes_THFTYPE_IiioI @ ( SV969 @ SX0 ) @ ( SV970 @ SX0 ) ) ) ))]]) ).

thf(4287,plain,
    ! [SV960: $i > $i,SV959: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ ( SV959 @ SX0 ) @ ( SV960 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV959 @ lAnna_THFTYPE_i ) @ ( SV960 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ ( SV959 @ SX0 ) @ ( SV960 @ SX0 ) ) ) ))]]) ).

thf(4288,plain,
    ! [SV960: $i > $i,SV959: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ ( SV959 @ SX0 ) @ ( SV960 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV959 @ lAnna_THFTYPE_i ) @ ( SV960 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ ( SV959 @ SX0 ) @ ( SV960 @ SX0 ) ) ) ))]]) ).

thf(4289,plain,
    ! [SV944: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV944 @ SX0 ) ) @ ( likes_THFTYPE_IiioI @ SX0 @ SX0 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV944 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV944 @ SX0 ) ) @ ( likes_THFTYPE_IiioI @ SX0 @ SX0 ) ) ))]]) ).

thf(4290,plain,
    ! [SV944: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV944 @ SX0 ) ) @ ( likes_THFTYPE_IiioI @ SX0 @ lMary_THFTYPE_i ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV944 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV944 @ SX0 ) ) @ ( likes_THFTYPE_IiioI @ SX0 @ lMary_THFTYPE_i ) ) ))]]) ).

thf(4291,plain,
    ! [SV944: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV944 @ SX0 ) ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV944 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV944 @ SX0 ) ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) ))]]) ).

thf(4292,plain,
    ! [SV944: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV944 @ SX0 ) ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV944 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV944 @ SX0 ) ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ))]]) ).

thf(4293,plain,
    ! [SV980: $i > $i,SV979: $i > $i,SV944: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV944 @ SX0 ) ) @ ( likes_THFTYPE_IiioI @ ( SV979 @ SX0 ) @ ( SV980 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV979 @ lAnna_THFTYPE_i ) @ ( SV980 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV944 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV944 @ SX0 ) ) @ ( likes_THFTYPE_IiioI @ ( SV979 @ SX0 ) @ ( SV980 @ SX0 ) ) ) ))]]) ).

thf(4294,plain,
    ! [SV980: $i > $i,SV979: $i > $i,SV944: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV944 @ SX0 ) ) @ ( likes_THFTYPE_IiioI @ ( SV979 @ SX0 ) @ ( SV980 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV979 @ lAnna_THFTYPE_i ) @ ( SV980 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV944 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV944 @ SX0 ) ) @ ( likes_THFTYPE_IiioI @ ( SV979 @ SX0 ) @ ( SV980 @ SX0 ) ) ) ))]]) ).

thf(4295,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( likes_THFTYPE_IiioI @ SX0 @ SX0 ) ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i
        = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( likes_THFTYPE_IiioI @ SX0 @ SX0 ) ) ))]]) ).

thf(4296,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( likes_THFTYPE_IiioI @ SX0 @ lMary_THFTYPE_i ) ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i
        = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( likes_THFTYPE_IiioI @ SX0 @ lMary_THFTYPE_i ) ) ))]]) ).

thf(4297,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i
        = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) ))]]) ).

thf(4298,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
      = $false )
    | ( ( lAnna_THFTYPE_i
        = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ))]]) ).

thf(4299,plain,
    ! [SV948: $i > $i,SV947: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( likes_THFTYPE_IiioI @ ( SV947 @ SX0 ) @ ( SV948 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV947 @ lAnna_THFTYPE_i ) @ ( SV948 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( likes_THFTYPE_IiioI @ ( SV947 @ SX0 ) @ ( SV948 @ SX0 ) ) ) ))]]) ).

thf(4300,plain,
    ! [SV948: $i > $i,SV947: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( likes_THFTYPE_IiioI @ ( SV947 @ SX0 ) @ ( SV948 @ SX0 ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ ( SV947 @ lAnna_THFTYPE_i ) @ ( SV948 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ( likes_THFTYPE_IiioI @ ( SV947 @ SX0 ) @ ( SV948 @ SX0 ) ) ) ))]]) ).

thf(4301,plain,
    ! [SV941: $i > $o,SV940: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV940 @ SX0 ) @ ( SV941 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV940 @ lAnna_THFTYPE_i ) @ ( SV941 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV940 @ SX0 ) @ ( SV941 @ SX0 ) ) ))]]) ).

thf(4302,plain,
    ! [SV941: $i > $o,SV940: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV940 @ SX0 ) @ ( SV941 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV940 @ lAnna_THFTYPE_i ) @ ( SV941 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3947:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV940 @ SX0 ) @ ( SV941 @ SX0 ) ) ))]]) ).

thf(4303,plain,
    ! [SV1024: $i > $i,SV1023: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV1023 @ lAnna_THFTYPE_i ) @ ( SV1024 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( parent_THFTYPE_IiioI @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) ))]]) ).

thf(4304,plain,
    ! [SV1024: $i > $i,SV1023: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV1023 @ lAnna_THFTYPE_i ) @ ( SV1024 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( parent_THFTYPE_IiioI @ ( SV1023 @ SX0 ) @ ( SV1024 @ SX0 ) ) ) ))]]) ).

thf(4305,plain,
    ! [SV1020: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV1020 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV1020 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV1020 @ SX0 ) ) ))]]) ).

thf(4306,plain,
    ! [SV1020: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV1020 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV1020 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 ) @ ~ ( SV1020 @ SX0 ) ) ))]]) ).

thf(4307,plain,
    ! [SV1015: $i > $i,SV1014: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV1014 @ SX0 ) @ ( SV1015 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV1014 @ lAnna_THFTYPE_i ) @ ( SV1015 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( parent_THFTYPE_IiioI @ ( SV1014 @ SX0 ) @ ( SV1015 @ SX0 ) ) ) ))]]) ).

thf(4308,plain,
    ! [SV1015: $i > $i,SV1014: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV1014 @ SX0 ) @ ( SV1015 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV1014 @ lAnna_THFTYPE_i ) @ ( SV1015 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( parent_THFTYPE_IiioI @ ( SV1014 @ SX0 ) @ ( SV1015 @ SX0 ) ) ) ))]]) ).

thf(4309,plain,
    ! [SV1011: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV1011 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV1011 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV1011 @ SX0 ) ) ))]]) ).

thf(4310,plain,
    ! [SV1011: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV1011 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV1011 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ ( SV1011 @ SX0 ) ) ))]]) ).

thf(4311,plain,
    ! [SV1033: $i > $i,SV1032: $i > $i,SV993: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV993 @ SX0 ) )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV1032 @ SX0 ) @ ( SV1033 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV1032 @ lAnna_THFTYPE_i ) @ ( SV1033 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV993 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV993 @ SX0 ) ) @ ~ ( parent_THFTYPE_IiioI @ ( SV1032 @ SX0 ) @ ( SV1033 @ SX0 ) ) ) ))]]) ).

thf(4312,plain,
    ! [SV1033: $i > $i,SV1032: $i > $i,SV993: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV993 @ SX0 ) )
              @ ~ ( parent_THFTYPE_IiioI @ ( SV1032 @ SX0 ) @ ( SV1033 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV1032 @ lAnna_THFTYPE_i ) @ ( SV1033 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV993 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV993 @ SX0 ) ) @ ~ ( parent_THFTYPE_IiioI @ ( SV1032 @ SX0 ) @ ( SV1033 @ SX0 ) ) ) ))]]) ).

thf(4313,plain,
    ! [SV1029: $i > $o,SV993: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV993 @ SX0 ) )
              @ ~ ( SV1029 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV1029 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV993 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV993 @ SX0 ) ) @ ~ ( SV1029 @ SX0 ) ) ))]]) ).

thf(4314,plain,
    ! [SV1029: $i > $o,SV993: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV993 @ SX0 ) )
              @ ~ ( SV1029 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV1029 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV993 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV993 @ SX0 ) ) @ ~ ( SV1029 @ SX0 ) ) ))]]) ).

thf(4315,plain,
    ! [SV1000: $i > $i,SV999: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( parent_THFTYPE_IiioI @ ( SV999 @ SX0 ) @ ( SV1000 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV999 @ lAnna_THFTYPE_i ) @ ( SV1000 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( parent_THFTYPE_IiioI @ ( SV999 @ SX0 ) @ ( SV1000 @ SX0 ) ) ) ))]]) ).

thf(4316,plain,
    ! [SV1000: $i > $i,SV999: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( parent_THFTYPE_IiioI @ ( SV999 @ SX0 ) @ ( SV1000 @ SX0 ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ ( SV999 @ lAnna_THFTYPE_i ) @ ( SV1000 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( parent_THFTYPE_IiioI @ ( SV999 @ SX0 ) @ ( SV1000 @ SX0 ) ) ) ))]]) ).

thf(4317,plain,
    ! [SV996: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV996 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV996 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV996 @ SX0 ) ) ))]]) ).

thf(4318,plain,
    ! [SV996: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV996 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV996 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ ( SV996 @ SX0 ) ) ))]]) ).

thf(4319,plain,
    ! [SV990: $i > $o,SV989: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV989 @ SX0 ) @ ( SV990 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV989 @ lAnna_THFTYPE_i ) @ ( SV990 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV989 @ SX0 ) @ ( SV990 @ SX0 ) ) ))]]) ).

thf(4320,plain,
    ! [SV990: $i > $o,SV989: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV989 @ SX0 ) @ ( SV990 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV989 @ lAnna_THFTYPE_i ) @ ( SV990 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3946:[bind(SV215,$thf( ^ [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( SV989 @ SX0 ) @ ( SV990 @ SX0 ) ) ))]]) ).

thf(4321,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3945:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4322,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( lBob_THFTYPE_i = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3945:[bind(SV215,$thf( ^ [SX0: $i] : ( lBob_THFTYPE_i = SX0 ) ))]]) ).

thf(4323,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3945:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i ) ))]]) ).

thf(4324,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : ( lBob_THFTYPE_i = lMary_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[3945:[bind(SV215,$thf( ^ [SX0: $i] : ( lBob_THFTYPE_i = lMary_THFTYPE_i ) ))]]) ).

thf(4325,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3945:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4326,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3945:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i ) ))]]) ).

thf(4327,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( lMary_THFTYPE_i = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3945:[bind(SV215,$thf( ^ [SX0: $i] : ( lMary_THFTYPE_i = SX0 ) ))]]) ).

thf(4328,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : ( lMary_THFTYPE_i = lBob_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[3945:[bind(SV215,$thf( ^ [SX0: $i] : ( lMary_THFTYPE_i = lBob_THFTYPE_i ) ))]]) ).

thf(4329,plain,
    ! [SV1043: $i > $i,SV1042: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1042 @ SX0 )
              = ( SV1043 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1042 @ lAnna_THFTYPE_i )
          = ( SV1043 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lMary_THFTYPE_i = lBob_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3945:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1042 @ SX0 ) = ( SV1043 @ SX0 ) ) ))]]) ).

thf(4330,plain,
    ! [SV1043: $i > $i,SV1042: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1042 @ SX0 )
              = ( SV1043 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1042 @ lAnna_THFTYPE_i )
          = ( SV1043 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lMary_THFTYPE_i = lBob_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3945:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1042 @ SX0 ) = ( SV1043 @ SX0 ) ) ))]]) ).

thf(4331,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3944:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4332,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( lMary_THFTYPE_i = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3944:[bind(SV215,$thf( ^ [SX0: $i] : ( lMary_THFTYPE_i = SX0 ) ))]]) ).

thf(4333,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lBill_THFTYPE_i ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3944:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = lBill_THFTYPE_i ) ))]]) ).

thf(4334,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : ( lMary_THFTYPE_i = lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[3944:[bind(SV215,$thf( ^ [SX0: $i] : ( lMary_THFTYPE_i = lBill_THFTYPE_i ) ))]]) ).

thf(4335,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3944:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4336,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3944:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i ) ))]]) ).

thf(4337,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( lBill_THFTYPE_i = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3944:[bind(SV215,$thf( ^ [SX0: $i] : ( lBill_THFTYPE_i = SX0 ) ))]]) ).

thf(4338,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : ( lBill_THFTYPE_i = lMary_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[3944:[bind(SV215,$thf( ^ [SX0: $i] : ( lBill_THFTYPE_i = lMary_THFTYPE_i ) ))]]) ).

thf(4339,plain,
    ! [SV1059: $i > $i,SV1058: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1058 @ SX0 )
              = ( SV1059 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1058 @ lAnna_THFTYPE_i )
          = ( SV1059 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lBill_THFTYPE_i = lMary_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3944:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1058 @ SX0 ) = ( SV1059 @ SX0 ) ) ))]]) ).

thf(4340,plain,
    ! [SV1059: $i > $i,SV1058: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1058 @ SX0 )
              = ( SV1059 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1058 @ lAnna_THFTYPE_i )
          = ( SV1059 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lBill_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3944:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1058 @ SX0 ) = ( SV1059 @ SX0 ) ) ))]]) ).

thf(4341,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3943:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4342,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( lBob_THFTYPE_i = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3943:[bind(SV215,$thf( ^ [SX0: $i] : ( lBob_THFTYPE_i = SX0 ) ))]]) ).

thf(4343,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lSue_THFTYPE_i ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3943:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = lSue_THFTYPE_i ) ))]]) ).

thf(4344,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : ( lBob_THFTYPE_i = lSue_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[3943:[bind(SV215,$thf( ^ [SX0: $i] : ( lBob_THFTYPE_i = lSue_THFTYPE_i ) ))]]) ).

thf(4345,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3943:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4346,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3943:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i ) ))]]) ).

thf(4347,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( lSue_THFTYPE_i = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3943:[bind(SV215,$thf( ^ [SX0: $i] : ( lSue_THFTYPE_i = SX0 ) ))]]) ).

thf(4348,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : ( lSue_THFTYPE_i = lBob_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[3943:[bind(SV215,$thf( ^ [SX0: $i] : ( lSue_THFTYPE_i = lBob_THFTYPE_i ) ))]]) ).

thf(4349,plain,
    ! [SV1075: $i > $i,SV1074: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1074 @ SX0 )
              = ( SV1075 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1074 @ lAnna_THFTYPE_i )
          = ( SV1075 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3943:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1074 @ SX0 ) = ( SV1075 @ SX0 ) ) ))]]) ).

thf(4350,plain,
    ! [SV1075: $i > $i,SV1074: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1074 @ SX0 )
              = ( SV1075 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1074 @ lAnna_THFTYPE_i )
          = ( SV1075 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lSue_THFTYPE_i = lBob_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3943:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1074 @ SX0 ) = ( SV1075 @ SX0 ) ) ))]]) ).

thf(4351,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3942:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4352,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( lSue_THFTYPE_i = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3942:[bind(SV215,$thf( ^ [SX0: $i] : ( lSue_THFTYPE_i = SX0 ) ))]]) ).

thf(4353,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3942:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i ) ))]]) ).

thf(4354,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : ( lSue_THFTYPE_i = lBob_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[3942:[bind(SV215,$thf( ^ [SX0: $i] : ( lSue_THFTYPE_i = lBob_THFTYPE_i ) ))]]) ).

thf(4355,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3942:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4356,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lSue_THFTYPE_i ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3942:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = lSue_THFTYPE_i ) ))]]) ).

thf(4357,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( lBob_THFTYPE_i = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lSue_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3942:[bind(SV215,$thf( ^ [SX0: $i] : ( lBob_THFTYPE_i = SX0 ) ))]]) ).

thf(4358,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : ( lBob_THFTYPE_i = lSue_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[3942:[bind(SV215,$thf( ^ [SX0: $i] : ( lBob_THFTYPE_i = lSue_THFTYPE_i ) ))]]) ).

thf(4359,plain,
    ! [SV1091: $i > $i,SV1090: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1090 @ SX0 )
              = ( SV1091 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1090 @ lAnna_THFTYPE_i )
          = ( SV1091 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3942:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1090 @ SX0 ) = ( SV1091 @ SX0 ) ) ))]]) ).

thf(4360,plain,
    ! [SV1091: $i > $i,SV1090: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1090 @ SX0 )
              = ( SV1091 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1090 @ lAnna_THFTYPE_i )
          = ( SV1091 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lBob_THFTYPE_i = lSue_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3942:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1090 @ SX0 ) = ( SV1091 @ SX0 ) ) ))]]) ).

thf(4361,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3941:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4362,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( lMary_THFTYPE_i = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3941:[bind(SV215,$thf( ^ [SX0: $i] : ( lMary_THFTYPE_i = SX0 ) ))]]) ).

thf(4363,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3941:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = lBob_THFTYPE_i ) ))]]) ).

thf(4364,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : ( lMary_THFTYPE_i = lBob_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[3941:[bind(SV215,$thf( ^ [SX0: $i] : ( lMary_THFTYPE_i = lBob_THFTYPE_i ) ))]]) ).

thf(4365,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3941:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4366,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3941:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i ) ))]]) ).

thf(4367,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( lBob_THFTYPE_i = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3941:[bind(SV215,$thf( ^ [SX0: $i] : ( lBob_THFTYPE_i = SX0 ) ))]]) ).

thf(4368,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : ( lBob_THFTYPE_i = lMary_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[3941:[bind(SV215,$thf( ^ [SX0: $i] : ( lBob_THFTYPE_i = lMary_THFTYPE_i ) ))]]) ).

thf(4369,plain,
    ! [SV1107: $i > $i,SV1106: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1106 @ SX0 )
              = ( SV1107 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1106 @ lAnna_THFTYPE_i )
          = ( SV1107 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lBob_THFTYPE_i = lMary_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3941:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1106 @ SX0 ) = ( SV1107 @ SX0 ) ) ))]]) ).

thf(4370,plain,
    ! [SV1107: $i > $i,SV1106: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1106 @ SX0 )
              = ( SV1107 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1106 @ lAnna_THFTYPE_i )
          = ( SV1107 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lBob_THFTYPE_i = lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3941:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1106 @ SX0 ) = ( SV1107 @ SX0 ) ) ))]]) ).

thf(4371,plain,
    ! [SV1122: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ ( SV1122 @ lAnna_THFTYPE_i ) @ ( sK1_SY60 @ ( SV1122 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( instance_THFTYPE_IiioI @ ( SV1122 @ SX0 ) @ SX0 ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = lOrganism_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3939:[bind(SV201,$thf( SV1122 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( instance_THFTYPE_IiioI @ ( SV1122 @ SX0 ) @ SX0 ) ))]]) ).

thf(4372,plain,
    ! [SV1122: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ ( SV1122 @ lAnna_THFTYPE_i ) @ ( sK1_SY60 @ ( SV1122 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( instance_THFTYPE_IiioI @ ( SV1122 @ SX0 ) @ lOrganism_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3939:[bind(SV201,$thf( SV1122 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( instance_THFTYPE_IiioI @ ( SV1122 @ SX0 ) @ lOrganism_THFTYPE_i ) ))]]) ).

thf(4373,plain,
    ! [SV1123: $i > $i,SV1122: $i > $i,SV201: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV201 @ ( sK1_SY60 @ SV201 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( instance_THFTYPE_IiioI @ ( SV1122 @ SX0 ) @ ( SV1123 @ SX0 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ ( SV1122 @ lAnna_THFTYPE_i ) @ ( SV1123 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV201 @ lOrganism_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3939:[bind(SV215,$thf( ^ [SX0: $i] : ( instance_THFTYPE_IiioI @ ( SV1122 @ SX0 ) @ ( SV1123 @ SX0 ) ) ))]]) ).

thf(4374,plain,
    ! [SV1123: $i > $i,SV1122: $i > $i,SV201: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV201 @ ( sK1_SY60 @ SV201 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( instance_THFTYPE_IiioI @ ( SV1122 @ SX0 ) @ ( SV1123 @ SX0 ) ) )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ ( SV1122 @ lAnna_THFTYPE_i ) @ ( SV1123 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV201 @ lOrganism_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3939:[bind(SV215,$thf( ^ [SX0: $i] : ( instance_THFTYPE_IiioI @ ( SV1122 @ SX0 ) @ ( SV1123 @ SX0 ) ) ))]]) ).

thf(4375,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBill_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3938:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4376,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( lBill_THFTYPE_i = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3938:[bind(SV215,$thf( ^ [SX0: $i] : ( lBill_THFTYPE_i = SX0 ) ))]]) ).

thf(4377,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3938:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = lMary_THFTYPE_i ) ))]]) ).

thf(4378,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : ( lBill_THFTYPE_i = lMary_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[3938:[bind(SV215,$thf( ^ [SX0: $i] : ( lBill_THFTYPE_i = lMary_THFTYPE_i ) ))]]) ).

thf(4379,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBill_THFTYPE_i )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3938:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4380,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( SX0 = lBill_THFTYPE_i ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3938:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = lBill_THFTYPE_i ) ))]]) ).

thf(4381,plain,
    ( ( ( subrelation_THFTYPE_IIioIIioIoI
        @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
        @ ^ [SX0: $i] : ( lMary_THFTYPE_i = SX0 ) )
      = $false )
    | ( ( lAnna_THFTYPE_i = lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[3938:[bind(SV215,$thf( ^ [SX0: $i] : ( lMary_THFTYPE_i = SX0 ) ))]]) ).

thf(4382,plain,
    ( ( subrelation_THFTYPE_IIioIIioIoI
      @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
      @ ^ [SX0: $i] : ( lMary_THFTYPE_i = lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[3938:[bind(SV215,$thf( ^ [SX0: $i] : ( lMary_THFTYPE_i = lBill_THFTYPE_i ) ))]]) ).

thf(4383,plain,
    ! [SV1129: $i > $i,SV1128: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1128 @ SX0 )
              = ( SV1129 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1128 @ lAnna_THFTYPE_i )
          = ( SV1129 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lMary_THFTYPE_i = lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3938:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1128 @ SX0 ) = ( SV1129 @ SX0 ) ) ))]]) ).

thf(4384,plain,
    ! [SV1129: $i > $i,SV1128: $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1128 @ SX0 )
              = ( SV1129 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1128 @ lAnna_THFTYPE_i )
          = ( SV1129 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lMary_THFTYPE_i = lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3938:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1128 @ SX0 ) = ( SV1129 @ SX0 ) ) ))]]) ).

thf(4385,plain,
    ! [SV1144: $i > $i,SV202: $i,SV1145: $i > $i] :
      ( ( ( located_THFTYPE_IiioI @ ( SV1145 @ lAnna_THFTYPE_i ) @ SV202 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ ( SV1144 @ lAnna_THFTYPE_i ) @ SV202 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subProcess_THFTYPE_IiioI @ ( SV1144 @ SX0 ) @ ( SV1145 @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3937:[bind(SV203,$thf( SV1145 @ lAnna_THFTYPE_i )),bind(SV204,$thf( SV1144 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( subProcess_THFTYPE_IiioI @ ( SV1144 @ SX0 ) @ ( SV1145 @ SX0 ) ) ))]]) ).

thf(4386,plain,
    ! [SV1145: $i > $i,SV1144: $i > $i,SV204: $i,SV202: $i,SV203: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV203 @ SV202 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV204 @ SV202 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subProcess_THFTYPE_IiioI @ ( SV1144 @ SX0 ) @ ( SV1145 @ SX0 ) ) )
        = $false )
      | ( ( subProcess_THFTYPE_IiioI @ ( SV1144 @ lAnna_THFTYPE_i ) @ ( SV1145 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subProcess_THFTYPE_IiioI @ SV204 @ SV203 )
        = $true ) ),
    inference(extuni,[status(esa)],[3937:[bind(SV215,$thf( ^ [SX0: $i] : ( subProcess_THFTYPE_IiioI @ ( SV1144 @ SX0 ) @ ( SV1145 @ SX0 ) ) ))]]) ).

thf(4387,plain,
    ! [SV1145: $i > $i,SV1144: $i > $i,SV204: $i,SV202: $i,SV203: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV203 @ SV202 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV204 @ SV202 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subProcess_THFTYPE_IiioI @ ( SV1144 @ SX0 ) @ ( SV1145 @ SX0 ) ) )
        = $false )
      | ( ( subProcess_THFTYPE_IiioI @ ( SV1144 @ lAnna_THFTYPE_i ) @ ( SV1145 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subProcess_THFTYPE_IiioI @ SV204 @ SV203 )
        = $false ) ),
    inference(extuni,[status(esa)],[3937:[bind(SV215,$thf( ^ [SX0: $i] : ( subProcess_THFTYPE_IiioI @ ( SV1144 @ SX0 ) @ ( SV1145 @ SX0 ) ) ))]]) ).

thf(4388,plain,
    ! [SV1148: $i > $i,SV1149: $i > $i,SV204: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV204 @ ( SV1149 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subProcess_THFTYPE_IiioI @ SV204 @ ( SV1148 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( located_THFTYPE_IiioI @ ( SV1148 @ SX0 ) @ ( SV1149 @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3935:[bind(SV202,$thf( SV1149 @ lAnna_THFTYPE_i )),bind(SV203,$thf( SV1148 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( located_THFTYPE_IiioI @ ( SV1148 @ SX0 ) @ ( SV1149 @ SX0 ) ) ))]]) ).

thf(4389,plain,
    ! [SV1149: $i > $i,SV1148: $i > $i,SV203: $i,SV202: $i,SV204: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV204 @ SV202 )
        = $true )
      | ( ( subProcess_THFTYPE_IiioI @ SV204 @ SV203 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( located_THFTYPE_IiioI @ ( SV1148 @ SX0 ) @ ( SV1149 @ SX0 ) ) )
        = $false )
      | ( ( located_THFTYPE_IiioI @ ( SV1148 @ lAnna_THFTYPE_i ) @ ( SV1149 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV203 @ SV202 )
        = $true ) ),
    inference(extuni,[status(esa)],[3935:[bind(SV215,$thf( ^ [SX0: $i] : ( located_THFTYPE_IiioI @ ( SV1148 @ SX0 ) @ ( SV1149 @ SX0 ) ) ))]]) ).

thf(4390,plain,
    ! [SV1149: $i > $i,SV1148: $i > $i,SV203: $i,SV202: $i,SV204: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV204 @ SV202 )
        = $true )
      | ( ( subProcess_THFTYPE_IiioI @ SV204 @ SV203 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( located_THFTYPE_IiioI @ ( SV1148 @ SX0 ) @ ( SV1149 @ SX0 ) ) )
        = $false )
      | ( ( located_THFTYPE_IiioI @ ( SV1148 @ lAnna_THFTYPE_i ) @ ( SV1149 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV203 @ SV202 )
        = $false ) ),
    inference(extuni,[status(esa)],[3935:[bind(SV215,$thf( ^ [SX0: $i] : ( located_THFTYPE_IiioI @ ( SV1148 @ SX0 ) @ ( SV1149 @ SX0 ) ) ))]]) ).

thf(4391,plain,
    ! [SV1152: $i > $i,SV205: $i,SV1153: $i > $i] :
      ( ( ( located_THFTYPE_IiioI @ ( SV1153 @ lAnna_THFTYPE_i ) @ SV205 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ ( SV1152 @ lAnna_THFTYPE_i ) @ SV205 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( part_THFTYPE_IiioI @ ( SV1152 @ SX0 ) @ ( SV1153 @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3934:[bind(SV206,$thf( SV1153 @ lAnna_THFTYPE_i )),bind(SV207,$thf( SV1152 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( part_THFTYPE_IiioI @ ( SV1152 @ SX0 ) @ ( SV1153 @ SX0 ) ) ))]]) ).

thf(4392,plain,
    ! [SV1153: $i > $i,SV1152: $i > $i,SV207: $i,SV205: $i,SV206: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV206 @ SV205 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV207 @ SV205 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( part_THFTYPE_IiioI @ ( SV1152 @ SX0 ) @ ( SV1153 @ SX0 ) ) )
        = $false )
      | ( ( part_THFTYPE_IiioI @ ( SV1152 @ lAnna_THFTYPE_i ) @ ( SV1153 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( part_THFTYPE_IiioI @ SV207 @ SV206 )
        = $true ) ),
    inference(extuni,[status(esa)],[3934:[bind(SV215,$thf( ^ [SX0: $i] : ( part_THFTYPE_IiioI @ ( SV1152 @ SX0 ) @ ( SV1153 @ SX0 ) ) ))]]) ).

thf(4393,plain,
    ! [SV1153: $i > $i,SV1152: $i > $i,SV207: $i,SV205: $i,SV206: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV206 @ SV205 )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV207 @ SV205 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( part_THFTYPE_IiioI @ ( SV1152 @ SX0 ) @ ( SV1153 @ SX0 ) ) )
        = $false )
      | ( ( part_THFTYPE_IiioI @ ( SV1152 @ lAnna_THFTYPE_i ) @ ( SV1153 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( part_THFTYPE_IiioI @ SV207 @ SV206 )
        = $false ) ),
    inference(extuni,[status(esa)],[3934:[bind(SV215,$thf( ^ [SX0: $i] : ( part_THFTYPE_IiioI @ ( SV1152 @ SX0 ) @ ( SV1153 @ SX0 ) ) ))]]) ).

thf(4394,plain,
    ! [SV1156: $i > $i,SV1157: $i > $i,SV207: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV207 @ ( SV1157 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( part_THFTYPE_IiioI @ SV207 @ ( SV1156 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( located_THFTYPE_IiioI @ ( SV1156 @ SX0 ) @ ( SV1157 @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3932:[bind(SV205,$thf( SV1157 @ lAnna_THFTYPE_i )),bind(SV206,$thf( SV1156 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( located_THFTYPE_IiioI @ ( SV1156 @ SX0 ) @ ( SV1157 @ SX0 ) ) ))]]) ).

thf(4395,plain,
    ! [SV1157: $i > $i,SV1156: $i > $i,SV206: $i,SV205: $i,SV207: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV207 @ SV205 )
        = $true )
      | ( ( part_THFTYPE_IiioI @ SV207 @ SV206 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( located_THFTYPE_IiioI @ ( SV1156 @ SX0 ) @ ( SV1157 @ SX0 ) ) )
        = $false )
      | ( ( located_THFTYPE_IiioI @ ( SV1156 @ lAnna_THFTYPE_i ) @ ( SV1157 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( located_THFTYPE_IiioI @ SV206 @ SV205 )
        = $true ) ),
    inference(extuni,[status(esa)],[3932:[bind(SV215,$thf( ^ [SX0: $i] : ( located_THFTYPE_IiioI @ ( SV1156 @ SX0 ) @ ( SV1157 @ SX0 ) ) ))]]) ).

thf(4396,plain,
    ! [SV1157: $i > $i,SV1156: $i > $i,SV206: $i,SV205: $i,SV207: $i] :
      ( ( ( located_THFTYPE_IiioI @ SV207 @ SV205 )
        = $true )
      | ( ( part_THFTYPE_IiioI @ SV207 @ SV206 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( located_THFTYPE_IiioI @ ( SV1156 @ SX0 ) @ ( SV1157 @ SX0 ) ) )
        = $false )
      | ( ( located_THFTYPE_IiioI @ ( SV1156 @ lAnna_THFTYPE_i ) @ ( SV1157 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( located_THFTYPE_IiioI @ SV206 @ SV205 )
        = $false ) ),
    inference(extuni,[status(esa)],[3932:[bind(SV215,$thf( ^ [SX0: $i] : ( located_THFTYPE_IiioI @ ( SV1156 @ SX0 ) @ ( SV1157 @ SX0 ) ) ))]]) ).

thf(4397,plain,
    ! [SV1161: $i > $i,SV1160: $i > $i] :
      ( ( ( ( lEndFn_THFTYPE_IiiI @ ( SV1160 @ lAnna_THFTYPE_i ) )
          = ( lBeginFn_THFTYPE_IiiI @ ( SV1161 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( meetsTemporally_THFTYPE_IiioI @ ( SV1160 @ SX0 ) @ ( SV1161 @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3931:[bind(SV208,$thf( SV1161 @ lAnna_THFTYPE_i )),bind(SV209,$thf( SV1160 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( meetsTemporally_THFTYPE_IiioI @ ( SV1160 @ SX0 ) @ ( SV1161 @ SX0 ) ) ))]]) ).

thf(4398,plain,
    ! [SV1161: $i > $i,SV1160: $i > $i,SV208: $i,SV209: $i] :
      ( ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( meetsTemporally_THFTYPE_IiioI @ ( SV1160 @ SX0 ) @ ( SV1161 @ SX0 ) ) )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ ( SV1160 @ lAnna_THFTYPE_i ) @ ( SV1161 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $true ) ),
    inference(extuni,[status(esa)],[3931:[bind(SV215,$thf( ^ [SX0: $i] : ( meetsTemporally_THFTYPE_IiioI @ ( SV1160 @ SX0 ) @ ( SV1161 @ SX0 ) ) ))]]) ).

thf(4399,plain,
    ! [SV1161: $i > $i,SV1160: $i > $i,SV208: $i,SV209: $i] :
      ( ( ( ( lEndFn_THFTYPE_IiiI @ SV209 )
          = ( lBeginFn_THFTYPE_IiiI @ SV208 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( meetsTemporally_THFTYPE_IiioI @ ( SV1160 @ SX0 ) @ ( SV1161 @ SX0 ) ) )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ ( SV1160 @ lAnna_THFTYPE_i ) @ ( SV1161 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( meetsTemporally_THFTYPE_IiioI @ SV209 @ SV208 )
        = $false ) ),
    inference(extuni,[status(esa)],[3931:[bind(SV215,$thf( ^ [SX0: $i] : ( meetsTemporally_THFTYPE_IiioI @ ( SV1160 @ SX0 ) @ ( SV1161 @ SX0 ) ) ))]]) ).

thf(4400,plain,
    ! [SV1174: $i > $i,SV1168: $i > $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ ( SV1168 @ lAnna_THFTYPE_i ) @ ( SV1174 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( lBeginFn_THFTYPE_IiiI @ ( SV1174 @ SX0 ) )
              = ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ SX0 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV210,$thf( SV1174 @ lAnna_THFTYPE_i )),bind(SV211,$thf( SV1168 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( ( lBeginFn_THFTYPE_IiiI @ ( SV1174 @ SX0 ) ) = ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ SX0 ) ) ) ))]]) ).

thf(4401,plain,
    ! [SV1174: $i > $i,SV210: $i,SV1168: $i > $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ ( SV1168 @ lAnna_THFTYPE_i ) @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( lBeginFn_THFTYPE_IiiI @ ( SV1174 @ SX0 ) )
              = ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ SX0 ) ) ) )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ ( SV1174 @ lAnna_THFTYPE_i ) )
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV211,$thf( SV1168 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( ( lBeginFn_THFTYPE_IiiI @ ( SV1174 @ SX0 ) ) = ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ SX0 ) ) ) ))]]) ).

thf(4402,plain,
    ! [SV210: $i,SV1168: $i > $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ ( SV1168 @ lAnna_THFTYPE_i ) @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( SX0
              = ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ SX0 ) ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV211,$thf( SV1168 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ SX0 ) ) ) ))]]) ).

thf(4403,plain,
    ! [SV1168: $i > $i,SV1177: $i > $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ ( SV1177 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( lBeginFn_THFTYPE_IiiI @ ( SV1177 @ SX0 ) )
              = ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ SX0 ) ) ) )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ lAnna_THFTYPE_i ) )
          = ( lEndFn_THFTYPE_IiiI @ SV211 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV210,$thf( SV1177 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( ( lBeginFn_THFTYPE_IiiI @ ( SV1177 @ SX0 ) ) = ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ SX0 ) ) ) ))]]) ).

thf(4404,plain,
    ! [SV1168: $i > $i,SV1177: $i > $i,SV210: $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( lBeginFn_THFTYPE_IiiI @ ( SV1177 @ SX0 ) )
              = ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ SX0 ) ) ) )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ ( SV1177 @ lAnna_THFTYPE_i ) )
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ lAnna_THFTYPE_i ) )
          = ( lEndFn_THFTYPE_IiiI @ SV211 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV215,$thf( ^ [SX0: $i] : ( ( lBeginFn_THFTYPE_IiiI @ ( SV1177 @ SX0 ) ) = ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ SX0 ) ) ) ))]]) ).

thf(4405,plain,
    ! [SV1168: $i > $i,SV210: $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( SX0
              = ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ SX0 ) ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ lAnna_THFTYPE_i ) )
          = ( lEndFn_THFTYPE_IiiI @ SV211 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = ( lEndFn_THFTYPE_IiiI @ ( SV1168 @ SX0 ) ) ) ))]]) ).

thf(4406,plain,
    ! [SV1171: $i > $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ ( SV1171 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( lBeginFn_THFTYPE_IiiI @ ( SV1171 @ SX0 ) )
              = SX0 ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lEndFn_THFTYPE_IiiI @ SV211 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV210,$thf( SV1171 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( ( lBeginFn_THFTYPE_IiiI @ ( SV1171 @ SX0 ) ) = SX0 ) ))]]) ).

thf(4407,plain,
    ! [SV1171: $i > $i,SV210: $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( lBeginFn_THFTYPE_IiiI @ ( SV1171 @ SX0 ) )
              = SX0 ) )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ ( SV1171 @ lAnna_THFTYPE_i ) )
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lEndFn_THFTYPE_IiiI @ SV211 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV215,$thf( ^ [SX0: $i] : ( ( lBeginFn_THFTYPE_IiiI @ ( SV1171 @ SX0 ) ) = SX0 ) ))]]) ).

thf(4408,plain,
    ! [SV210: $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( SX0 = SX0 ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lEndFn_THFTYPE_IiiI @ SV211 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4409,plain,
    ! [SV1186: $i > $i,SV1180: $i > $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ ( SV1180 @ lAnna_THFTYPE_i ) @ ( SV1186 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ SX0 ) )
              = ( lBeginFn_THFTYPE_IiiI @ ( SV1186 @ SX0 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV210,$thf( SV1186 @ lAnna_THFTYPE_i )),bind(SV211,$thf( SV1180 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ SX0 ) ) = ( lBeginFn_THFTYPE_IiiI @ ( SV1186 @ SX0 ) ) ) ))]]) ).

thf(4410,plain,
    ! [SV1186: $i > $i,SV210: $i,SV1180: $i > $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ ( SV1180 @ lAnna_THFTYPE_i ) @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ SX0 ) )
              = ( lBeginFn_THFTYPE_IiiI @ ( SV1186 @ SX0 ) ) ) )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ ( SV1186 @ lAnna_THFTYPE_i ) )
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV211,$thf( SV1180 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ SX0 ) ) = ( lBeginFn_THFTYPE_IiiI @ ( SV1186 @ SX0 ) ) ) ))]]) ).

thf(4411,plain,
    ! [SV210: $i,SV1180: $i > $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ ( SV1180 @ lAnna_THFTYPE_i ) @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ SX0 ) )
              = SX0 ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV211,$thf( SV1180 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ SX0 ) ) = SX0 ) ))]]) ).

thf(4412,plain,
    ! [SV1180: $i > $i,SV1189: $i > $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ ( SV1189 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ SX0 ) )
              = ( lBeginFn_THFTYPE_IiiI @ ( SV1189 @ SX0 ) ) ) )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ lAnna_THFTYPE_i ) )
          = ( lEndFn_THFTYPE_IiiI @ SV211 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV210,$thf( SV1189 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ SX0 ) ) = ( lBeginFn_THFTYPE_IiiI @ ( SV1189 @ SX0 ) ) ) ))]]) ).

thf(4413,plain,
    ! [SV1189: $i > $i,SV1180: $i > $i,SV210: $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ SX0 ) )
              = ( lBeginFn_THFTYPE_IiiI @ ( SV1189 @ SX0 ) ) ) )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ ( SV1189 @ lAnna_THFTYPE_i ) )
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ lAnna_THFTYPE_i ) )
          = ( lEndFn_THFTYPE_IiiI @ SV211 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV215,$thf( ^ [SX0: $i] : ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ SX0 ) ) = ( lBeginFn_THFTYPE_IiiI @ ( SV1189 @ SX0 ) ) ) ))]]) ).

thf(4414,plain,
    ! [SV1180: $i > $i,SV210: $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ SX0 ) )
              = SX0 ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ lAnna_THFTYPE_i ) )
          = ( lEndFn_THFTYPE_IiiI @ SV211 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV215,$thf( ^ [SX0: $i] : ( ( lEndFn_THFTYPE_IiiI @ ( SV1180 @ SX0 ) ) = SX0 ) ))]]) ).

thf(4415,plain,
    ! [SV1183: $i > $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ ( SV1183 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( SX0
              = ( lBeginFn_THFTYPE_IiiI @ ( SV1183 @ SX0 ) ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lEndFn_THFTYPE_IiiI @ SV211 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV210,$thf( SV1183 @ lAnna_THFTYPE_i )),bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = ( lBeginFn_THFTYPE_IiiI @ ( SV1183 @ SX0 ) ) ) ))]]) ).

thf(4416,plain,
    ! [SV1183: $i > $i,SV210: $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( SX0
              = ( lBeginFn_THFTYPE_IiiI @ ( SV1183 @ SX0 ) ) ) )
        = $false )
      | ( ( ( lBeginFn_THFTYPE_IiiI @ ( SV1183 @ lAnna_THFTYPE_i ) )
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lEndFn_THFTYPE_IiiI @ SV211 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = ( lBeginFn_THFTYPE_IiiI @ ( SV1183 @ SX0 ) ) ) ))]]) ).

thf(4417,plain,
    ! [SV210: $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( SX0 = SX0 ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lEndFn_THFTYPE_IiiI @ SV211 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV215,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).

thf(4418,plain,
    ! [SV1165: $i > $i,SV1164: $i > $i,SV210: $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1164 @ SX0 )
              = ( SV1165 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1164 @ lAnna_THFTYPE_i )
          = ( SV1165 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV211 )
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1164 @ SX0 ) = ( SV1165 @ SX0 ) ) ))]]) ).

thf(4419,plain,
    ! [SV1165: $i > $i,SV1164: $i > $i,SV210: $i,SV211: $i] :
      ( ( ( meetsTemporally_THFTYPE_IiioI @ SV211 @ SV210 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV1164 @ SX0 )
              = ( SV1165 @ SX0 ) ) )
        = $false )
      | ( ( ( SV1164 @ lAnna_THFTYPE_i )
          = ( SV1165 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ( lEndFn_THFTYPE_IiiI @ SV211 )
          = ( lBeginFn_THFTYPE_IiiI @ SV210 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3929:[bind(SV215,$thf( ^ [SX0: $i] : ( ( SV1164 @ SX0 ) = ( SV1165 @ SX0 ) ) ))]]) ).

thf(4420,plain,
    ! [SV1335: $i > $i > $i > $o,SV1334: $i > $i > $i > $o,SV1205: $i > $i > $i > $i > $o,SV1204: $i > $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( SX0
              = ( sK28_E @ ( SV1204 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1205 @ lAnna_THFTYPE_i @ SX0 ) ) )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1335 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( SX1
                  = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1334 @ lAnna_THFTYPE_i
            @ ( sK45_E @ SV1205 @ SV1204
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) ) ) )
          @ ( SV1335 @ lAnna_THFTYPE_i
            @ ( sK45_E @ SV1205 @ SV1204
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( SX0
              = ( sK28_E
                @ ( SV1204
                  @ ( sK45_E @ SV1205 @ SV1204
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX1 @ SX2 ) @ ( SV1335 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1205
                  @ ( sK45_E @ SV1205 @ SV1204
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX1 @ SX2 ) @ ( SV1335 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1334
                @ ( sK45_E @ SV1205 @ SV1204
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX1 @ SX2 ) @ ( SV1335 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1335
                @ ( sK45_E @ SV1205 @ SV1204
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX1 @ SX2 ) @ ( SV1335 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( SX1
                = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ( sK28_E
            @ ( SV1204 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( SX1
                    = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) )
            @ ( SV1205 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( SX1
                    = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) ) )
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( SX1
                = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX1 = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4421,plain,
    ! [SV1335: $i > $i > $i > $o,SV1334: $i > $i > $i > $o,SV1205: $i > $i > $i > $i > $o,SV1204: $i > $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( SX0
              = ( sK28_E @ ( SV1204 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1205 @ lAnna_THFTYPE_i @ SX0 ) ) )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1335 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( SX1
                  = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1334 @ lAnna_THFTYPE_i
            @ ( sK45_E @ SV1205 @ SV1204
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) ) ) )
          @ ( SV1335 @ lAnna_THFTYPE_i
            @ ( sK45_E @ SV1205 @ SV1204
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( SX0
              = ( sK28_E
                @ ( SV1204
                  @ ( sK45_E @ SV1205 @ SV1204
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX1 @ SX2 ) @ ( SV1335 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1205
                  @ ( sK45_E @ SV1205 @ SV1204
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX1 @ SX2 ) @ ( SV1335 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1334
                @ ( sK45_E @ SV1205 @ SV1204
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX1 @ SX2 ) @ ( SV1335 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1335
                @ ( sK45_E @ SV1205 @ SV1204
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX1 @ SX2 ) @ ( SV1335 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( SX1
                = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ( sK28_E
            @ ( SV1204 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( SX1
                    = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) )
            @ ( SV1205 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( SX1
                    = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) ) )
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( SX1
                = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX1 = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1334 @ SX0 @ SX1 ) @ ( SV1335 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4422,plain,
    ! [SV1321: $i > $i > $i > $o,SV1320: $i > $i > $i > $o,SV1205: $i > $i > $i > $i > $o,SV1204: $i > $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( lAnna_THFTYPE_i
              = ( sK28_E @ ( SV1204 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1205 @ lAnna_THFTYPE_i @ SX0 ) ) )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1321 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( SX0
                  = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1320 @ lAnna_THFTYPE_i
            @ ( sK43_E @ SV1205 @ SV1204
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) ) ) )
          @ ( SV1321 @ lAnna_THFTYPE_i
            @ ( sK43_E @ SV1205 @ SV1204
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK43_E @ SV1205 @ SV1204
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX1 @ SX2 ) @ ( SV1321 @ SX1 @ SX2 ) ) )
              = ( sK28_E
                @ ( SV1204
                  @ ( sK43_E @ SV1205 @ SV1204
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX1 @ SX2 ) @ ( SV1321 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1205
                  @ ( sK43_E @ SV1205 @ SV1204
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX1 @ SX2 ) @ ( SV1321 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1320
                @ ( sK43_E @ SV1205 @ SV1204
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX1 @ SX2 ) @ ( SV1321 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1321
                @ ( sK43_E @ SV1205 @ SV1204
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX1 @ SX2 ) @ ( SV1321 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ( SV1204 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( SX0
                    = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) )
            @ ( SV1205 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( SX0
                    = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) ) )
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( SX0
                = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX0 = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4423,plain,
    ! [SV1321: $i > $i > $i > $o,SV1320: $i > $i > $i > $o,SV1205: $i > $i > $i > $i > $o,SV1204: $i > $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( lAnna_THFTYPE_i
              = ( sK28_E @ ( SV1204 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1205 @ lAnna_THFTYPE_i @ SX0 ) ) )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1321 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( SX0
                  = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1320 @ lAnna_THFTYPE_i
            @ ( sK43_E @ SV1205 @ SV1204
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) ) ) )
          @ ( SV1321 @ lAnna_THFTYPE_i
            @ ( sK43_E @ SV1205 @ SV1204
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK43_E @ SV1205 @ SV1204
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX1 @ SX2 ) @ ( SV1321 @ SX1 @ SX2 ) ) )
              = ( sK28_E
                @ ( SV1204
                  @ ( sK43_E @ SV1205 @ SV1204
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX1 @ SX2 ) @ ( SV1321 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1205
                  @ ( sK43_E @ SV1205 @ SV1204
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX1 @ SX2 ) @ ( SV1321 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1320
                @ ( sK43_E @ SV1205 @ SV1204
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX1 @ SX2 ) @ ( SV1321 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1321
                @ ( sK43_E @ SV1205 @ SV1204
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX1 @ SX2 ) @ ( SV1321 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ( SV1204 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( SX0
                    = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) )
            @ ( SV1205 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( SX0
                    = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) ) )
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( SX0
                = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX0 = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1320 @ SX0 @ SX1 ) @ ( SV1321 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4424,plain,
    ! [SV1307: $i > $i > $i > $o,SV1306: $i > $i > $i > $o,SV1205: $i > $i > $i > $i > $o,SV1204: $i > $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( lAnna_THFTYPE_i
              = ( sK28_E @ ( SV1204 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1205 @ lAnna_THFTYPE_i @ SX0 ) ) )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1307 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( lAnna_THFTYPE_i
                  = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1306 @ lAnna_THFTYPE_i
            @ ( sK41_E @ SV1205 @ SV1204
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) ) ) )
          @ ( SV1307 @ lAnna_THFTYPE_i
            @ ( sK41_E @ SV1205 @ SV1204
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( lAnna_THFTYPE_i
              = ( sK28_E
                @ ( SV1204
                  @ ( sK41_E @ SV1205 @ SV1204
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX1 @ SX2 ) @ ( SV1307 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1205
                  @ ( sK41_E @ SV1205 @ SV1204
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX1 @ SX2 ) @ ( SV1307 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1306
                @ ( sK41_E @ SV1205 @ SV1204
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX1 @ SX2 ) @ ( SV1307 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1307
                @ ( sK41_E @ SV1205 @ SV1204
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX1 @ SX2 ) @ ( SV1307 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ( SV1204 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( lAnna_THFTYPE_i
                    = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) )
            @ ( SV1205 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( lAnna_THFTYPE_i
                    = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) ) )
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( lAnna_THFTYPE_i
                = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( lAnna_THFTYPE_i = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4425,plain,
    ! [SV1307: $i > $i > $i > $o,SV1306: $i > $i > $i > $o,SV1205: $i > $i > $i > $i > $o,SV1204: $i > $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( lAnna_THFTYPE_i
              = ( sK28_E @ ( SV1204 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1205 @ lAnna_THFTYPE_i @ SX0 ) ) )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1307 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( lAnna_THFTYPE_i
                  = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1306 @ lAnna_THFTYPE_i
            @ ( sK41_E @ SV1205 @ SV1204
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) ) ) )
          @ ( SV1307 @ lAnna_THFTYPE_i
            @ ( sK41_E @ SV1205 @ SV1204
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( lAnna_THFTYPE_i
              = ( sK28_E
                @ ( SV1204
                  @ ( sK41_E @ SV1205 @ SV1204
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX1 @ SX2 ) @ ( SV1307 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1205
                  @ ( sK41_E @ SV1205 @ SV1204
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX1 @ SX2 ) @ ( SV1307 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1306
                @ ( sK41_E @ SV1205 @ SV1204
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX1 @ SX2 ) @ ( SV1307 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1307
                @ ( sK41_E @ SV1205 @ SV1204
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX1 @ SX2 ) @ ( SV1307 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ( SV1204 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( lAnna_THFTYPE_i
                    = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) )
            @ ( SV1205 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( lAnna_THFTYPE_i
                    = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) ) )
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( lAnna_THFTYPE_i
                = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( lAnna_THFTYPE_i = ( sK28_E @ ( SV1204 @ SX0 @ SX1 ) @ ( SV1205 @ SX0 @ SX1 ) ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1306 @ SX0 @ SX1 ) @ ( SV1307 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4426,plain,
    ! [SV1289: $i > $i > $i > $o,SV1288: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = SX0 )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1289 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX1 = SX1 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX0 @ SX1 ) @ ( SV1289 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1288 @ lAnna_THFTYPE_i
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX0 @ SX1 ) @ ( SV1289 @ SX0 @ SX1 ) ) ) )
          @ ( SV1289 @ lAnna_THFTYPE_i
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX0 @ SX1 ) @ ( SV1289 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = SX0 )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1288
                @ ( sK39_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX1 @ SX2 ) @ ( SV1289 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1289
                @ ( sK39_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX1 @ SX2 ) @ ( SV1289 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX0 @ SX1 ) @ ( SV1289 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
          = lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX1 = SX1 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX0 @ SX1 ) @ ( SV1289 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4427,plain,
    ! [SV1289: $i > $i > $i > $o,SV1288: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = SX0 )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1289 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX1 = SX1 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX0 @ SX1 ) @ ( SV1289 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1288 @ lAnna_THFTYPE_i
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX0 @ SX1 ) @ ( SV1289 @ SX0 @ SX1 ) ) ) )
          @ ( SV1289 @ lAnna_THFTYPE_i
            @ ( sK39_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX0 @ SX1 ) @ ( SV1289 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = SX0 )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1288
                @ ( sK39_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX1 @ SX2 ) @ ( SV1289 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1289
                @ ( sK39_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX1 @ SX2 ) @ ( SV1289 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX0 @ SX1 ) @ ( SV1289 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
          = lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX1 = SX1 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1288 @ SX0 @ SX1 ) @ ( SV1289 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4428,plain,
    ! [SV1275: $i > $i > $i > $o,SV1274: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = SX0 )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1275 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX0 = SX1 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX0 @ SX1 ) @ ( SV1275 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1274 @ lAnna_THFTYPE_i
            @ ( sK37_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX0 @ SX1 ) @ ( SV1275 @ SX0 @ SX1 ) ) ) )
          @ ( SV1275 @ lAnna_THFTYPE_i
            @ ( sK37_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX0 @ SX1 ) @ ( SV1275 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK37_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX1 @ SX2 ) @ ( SV1275 @ SX1 @ SX2 ) ) )
              = SX0 )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1274
                @ ( sK37_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX1 @ SX2 ) @ ( SV1275 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1275
                @ ( sK37_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX1 @ SX2 ) @ ( SV1275 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX0 = SX1 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX0 @ SX1 ) @ ( SV1275 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4429,plain,
    ! [SV1275: $i > $i > $i > $o,SV1274: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = SX0 )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1275 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX0 = SX1 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX0 @ SX1 ) @ ( SV1275 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1274 @ lAnna_THFTYPE_i
            @ ( sK37_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX0 @ SX1 ) @ ( SV1275 @ SX0 @ SX1 ) ) ) )
          @ ( SV1275 @ lAnna_THFTYPE_i
            @ ( sK37_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX0 @ SX1 ) @ ( SV1275 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK37_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX1 @ SX2 ) @ ( SV1275 @ SX1 @ SX2 ) ) )
              = SX0 )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1274
                @ ( sK37_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX1 @ SX2 ) @ ( SV1275 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1275
                @ ( sK37_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX1 @ SX2 ) @ ( SV1275 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX0 = SX1 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1274 @ SX0 @ SX1 ) @ ( SV1275 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4430,plain,
    ! [SV1261: $i > $i > $i > $o,SV1260: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = SX0 )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1261 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( lAnna_THFTYPE_i = SX1 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ SX0 @ SX1 ) @ ( SV1261 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1260 @ lAnna_THFTYPE_i
            @ ( sK35_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ SX0 @ SX1 ) @ ( SV1261 @ SX0 @ SX1 ) ) ) )
          @ ( SV1261 @ lAnna_THFTYPE_i
            @ ( sK35_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ SX0 @ SX1 ) @ ( SV1261 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = SX0 )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1260
                @ ( sK35_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ SX1 @ SX2 ) @ ( SV1261 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1261
                @ ( sK35_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ SX1 @ SX2 ) @ ( SV1261 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( lAnna_THFTYPE_i = SX1 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ SX0 @ SX1 ) @ ( SV1261 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4431,plain,
    ! [SV1261: $i > $i > $i > $o,SV1260: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = SX0 )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1261 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( lAnna_THFTYPE_i = SX1 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ SX0 @ SX1 ) @ ( SV1261 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1260 @ lAnna_THFTYPE_i
            @ ( sK35_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ SX0 @ SX1 ) @ ( SV1261 @ SX0 @ SX1 ) ) ) )
          @ ( SV1261 @ lAnna_THFTYPE_i
            @ ( sK35_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ SX0 @ SX1 ) @ ( SV1261 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = SX0 )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1260
                @ ( sK35_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ SX1 @ SX2 ) @ ( SV1261 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1261
                @ ( sK35_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ SX1 @ SX2 ) @ ( SV1261 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( lAnna_THFTYPE_i = SX1 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1260 @ SX0 @ SX1 ) @ ( SV1261 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4432,plain,
    ! [SV1243: $i > $i > $i > $o,SV1242: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1243 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX1 = SX0 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX0 @ SX1 ) @ ( SV1243 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1242 @ lAnna_THFTYPE_i
            @ ( sK33_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX0 @ SX1 ) @ ( SV1243 @ SX0 @ SX1 ) ) ) )
          @ ( SV1243 @ lAnna_THFTYPE_i
            @ ( sK33_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX0 @ SX1 ) @ ( SV1243 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( SX0
              = ( sK33_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX1 @ SX2 ) @ ( SV1243 @ SX1 @ SX2 ) ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1242
                @ ( sK33_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX1 @ SX2 ) @ ( SV1243 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1243
                @ ( sK33_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX1 @ SX2 ) @ ( SV1243 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX0 @ SX1 ) @ ( SV1243 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX0 @ SX1 ) @ ( SV1243 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX1 = SX0 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX0 @ SX1 ) @ ( SV1243 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4433,plain,
    ! [SV1243: $i > $i > $i > $o,SV1242: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1243 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX1 = SX0 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX0 @ SX1 ) @ ( SV1243 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1242 @ lAnna_THFTYPE_i
            @ ( sK33_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX0 @ SX1 ) @ ( SV1243 @ SX0 @ SX1 ) ) ) )
          @ ( SV1243 @ lAnna_THFTYPE_i
            @ ( sK33_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX0 @ SX1 ) @ ( SV1243 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( SX0
              = ( sK33_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX1 @ SX2 ) @ ( SV1243 @ SX1 @ SX2 ) ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1242
                @ ( sK33_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX1 @ SX2 ) @ ( SV1243 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1243
                @ ( sK33_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX1 @ SX2 ) @ ( SV1243 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX0 @ SX1 ) @ ( SV1243 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX0 @ SX1 ) @ ( SV1243 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX1 = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX1 = SX0 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1242 @ SX0 @ SX1 ) @ ( SV1243 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4434,plain,
    ! [SV1229: $i > $i > $i > $o,SV1228: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1229 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX0 = SX0 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX0 @ SX1 ) @ ( SV1229 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1228 @ lAnna_THFTYPE_i
            @ ( sK31_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX0 @ SX1 ) @ ( SV1229 @ SX0 @ SX1 ) ) ) )
          @ ( SV1229 @ lAnna_THFTYPE_i
            @ ( sK31_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX0 @ SX1 ) @ ( SV1229 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK31_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX1 @ SX2 ) @ ( SV1229 @ SX1 @ SX2 ) ) )
              = ( sK31_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX1 @ SX2 ) @ ( SV1229 @ SX1 @ SX2 ) ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1228
                @ ( sK31_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX1 @ SX2 ) @ ( SV1229 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1229
                @ ( sK31_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX1 @ SX2 ) @ ( SV1229 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX0 @ SX1 ) @ ( SV1229 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX0 = SX0 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX0 @ SX1 ) @ ( SV1229 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4435,plain,
    ! [SV1229: $i > $i > $i > $o,SV1228: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1229 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX0 = SX0 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX0 @ SX1 ) @ ( SV1229 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1228 @ lAnna_THFTYPE_i
            @ ( sK31_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX0 @ SX1 ) @ ( SV1229 @ SX0 @ SX1 ) ) ) )
          @ ( SV1229 @ lAnna_THFTYPE_i
            @ ( sK31_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX0 @ SX1 ) @ ( SV1229 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK31_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX1 @ SX2 ) @ ( SV1229 @ SX1 @ SX2 ) ) )
              = ( sK31_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX1 @ SX2 ) @ ( SV1229 @ SX1 @ SX2 ) ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1228
                @ ( sK31_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX1 @ SX2 ) @ ( SV1229 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1229
                @ ( sK31_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX1 @ SX2 ) @ ( SV1229 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX0 @ SX1 ) @ ( SV1229 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX0 = SX0 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1228 @ SX0 @ SX1 ) @ ( SV1229 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4436,plain,
    ! [SV1215: $i > $i > $i > $o,SV1214: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1215 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( lAnna_THFTYPE_i = SX0 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX0 @ SX1 ) @ ( SV1215 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1214 @ lAnna_THFTYPE_i
            @ ( sK29_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX0 @ SX1 ) @ ( SV1215 @ SX0 @ SX1 ) ) ) )
          @ ( SV1215 @ lAnna_THFTYPE_i
            @ ( sK29_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX0 @ SX1 ) @ ( SV1215 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( lAnna_THFTYPE_i
              = ( sK29_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX1 @ SX2 ) @ ( SV1215 @ SX1 @ SX2 ) ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1214
                @ ( sK29_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX1 @ SX2 ) @ ( SV1215 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1215
                @ ( sK29_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX1 @ SX2 ) @ ( SV1215 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX0 @ SX1 ) @ ( SV1215 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( lAnna_THFTYPE_i = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( lAnna_THFTYPE_i = SX0 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX0 @ SX1 ) @ ( SV1215 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4437,plain,
    ! [SV1215: $i > $i > $i > $o,SV1214: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1215 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( lAnna_THFTYPE_i = SX0 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX0 @ SX1 ) @ ( SV1215 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1214 @ lAnna_THFTYPE_i
            @ ( sK29_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX0 @ SX1 ) @ ( SV1215 @ SX0 @ SX1 ) ) ) )
          @ ( SV1215 @ lAnna_THFTYPE_i
            @ ( sK29_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX0 @ SX1 ) @ ( SV1215 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( lAnna_THFTYPE_i
              = ( sK29_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX1 @ SX2 ) @ ( SV1215 @ SX1 @ SX2 ) ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1214
                @ ( sK29_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX1 @ SX2 ) @ ( SV1215 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1215
                @ ( sK29_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX1 @ SX2 ) @ ( SV1215 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX0 @ SX1 ) @ ( SV1215 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( lAnna_THFTYPE_i = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( lAnna_THFTYPE_i = SX0 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1214 @ SX0 @ SX1 ) @ ( SV1215 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4438,plain,
    ! [SV1479: $i > $i > $i > $o,SV1478: $i > $i > $i > $o,SV1349: $i > $i > $i > $i > $o,SV1348: $i > $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK28_E @ ( SV1348 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1349 @ lAnna_THFTYPE_i @ SX0 ) )
              = SX0 )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1479 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                  = SX1 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1478 @ lAnna_THFTYPE_i
            @ ( sK63_E @ SV1349 @ SV1348
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) ) ) )
          @ ( SV1479 @ lAnna_THFTYPE_i
            @ ( sK63_E @ SV1349 @ SV1348
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK28_E
                @ ( SV1348
                  @ ( sK63_E @ SV1349 @ SV1348
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX1 @ SX2 ) @ ( SV1479 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1349
                  @ ( sK63_E @ SV1349 @ SV1348
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX1 @ SX2 ) @ ( SV1479 @ SX1 @ SX2 ) ) )
                  @ SX0 ) )
              = SX0 )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1478
                @ ( sK63_E @ SV1349 @ SV1348
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX1 @ SX2 ) @ ( SV1479 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1479
                @ ( sK63_E @ SV1349 @ SV1348
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX1 @ SX2 ) @ ( SV1479 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                = SX1 ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ( sK28_E
            @ ( SV1348 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                    = SX1 ) ) )
            @ ( SV1349 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                = SX1 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) ) = SX1 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4439,plain,
    ! [SV1479: $i > $i > $i > $o,SV1478: $i > $i > $i > $o,SV1349: $i > $i > $i > $i > $o,SV1348: $i > $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK28_E @ ( SV1348 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1349 @ lAnna_THFTYPE_i @ SX0 ) )
              = SX0 )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1479 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                  = SX1 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1478 @ lAnna_THFTYPE_i
            @ ( sK63_E @ SV1349 @ SV1348
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) ) ) )
          @ ( SV1479 @ lAnna_THFTYPE_i
            @ ( sK63_E @ SV1349 @ SV1348
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK28_E
                @ ( SV1348
                  @ ( sK63_E @ SV1349 @ SV1348
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX1 @ SX2 ) @ ( SV1479 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1349
                  @ ( sK63_E @ SV1349 @ SV1348
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX1 @ SX2 ) @ ( SV1479 @ SX1 @ SX2 ) ) )
                  @ SX0 ) )
              = SX0 )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1478
                @ ( sK63_E @ SV1349 @ SV1348
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX1 @ SX2 ) @ ( SV1479 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1479
                @ ( sK63_E @ SV1349 @ SV1348
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX1 @ SX2 ) @ ( SV1479 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                = SX1 ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ( sK28_E
            @ ( SV1348 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                    = SX1 ) ) )
            @ ( SV1349 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                = SX1 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) ) = SX1 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1478 @ SX0 @ SX1 ) @ ( SV1479 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4440,plain,
    ! [SV1465: $i > $i > $i > $o,SV1464: $i > $i > $i > $o,SV1349: $i > $i > $i > $i > $o,SV1348: $i > $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK28_E @ ( SV1348 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1349 @ lAnna_THFTYPE_i @ SX0 ) )
              = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1465 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                  = SX0 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1464 @ lAnna_THFTYPE_i
            @ ( sK61_E @ SV1349 @ SV1348
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) ) ) )
          @ ( SV1465 @ lAnna_THFTYPE_i
            @ ( sK61_E @ SV1349 @ SV1348
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK28_E
                @ ( SV1348
                  @ ( sK61_E @ SV1349 @ SV1348
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX1 @ SX2 ) @ ( SV1465 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1349
                  @ ( sK61_E @ SV1349 @ SV1348
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX1 @ SX2 ) @ ( SV1465 @ SX1 @ SX2 ) ) )
                  @ SX0 ) )
              = ( sK61_E @ SV1349 @ SV1348
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX1 @ SX2 ) @ ( SV1465 @ SX1 @ SX2 ) ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1464
                @ ( sK61_E @ SV1349 @ SV1348
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX1 @ SX2 ) @ ( SV1465 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1465
                @ ( sK61_E @ SV1349 @ SV1348
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX1 @ SX2 ) @ ( SV1465 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ( SV1348 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                    = SX0 ) ) )
            @ ( SV1349 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) ) = SX0 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4441,plain,
    ! [SV1465: $i > $i > $i > $o,SV1464: $i > $i > $i > $o,SV1349: $i > $i > $i > $i > $o,SV1348: $i > $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK28_E @ ( SV1348 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1349 @ lAnna_THFTYPE_i @ SX0 ) )
              = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1465 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                  = SX0 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1464 @ lAnna_THFTYPE_i
            @ ( sK61_E @ SV1349 @ SV1348
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) ) ) )
          @ ( SV1465 @ lAnna_THFTYPE_i
            @ ( sK61_E @ SV1349 @ SV1348
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK28_E
                @ ( SV1348
                  @ ( sK61_E @ SV1349 @ SV1348
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX1 @ SX2 ) @ ( SV1465 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1349
                  @ ( sK61_E @ SV1349 @ SV1348
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX1 @ SX2 ) @ ( SV1465 @ SX1 @ SX2 ) ) )
                  @ SX0 ) )
              = ( sK61_E @ SV1349 @ SV1348
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX1 @ SX2 ) @ ( SV1465 @ SX1 @ SX2 ) ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1464
                @ ( sK61_E @ SV1349 @ SV1348
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX1 @ SX2 ) @ ( SV1465 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1465
                @ ( sK61_E @ SV1349 @ SV1348
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX1 @ SX2 ) @ ( SV1465 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ( SV1348 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                    = SX0 ) ) )
            @ ( SV1349 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) ) = SX0 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1464 @ SX0 @ SX1 ) @ ( SV1465 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4442,plain,
    ! [SV1451: $i > $i > $i > $o,SV1450: $i > $i > $i > $o,SV1349: $i > $i > $i > $i > $o,SV1348: $i > $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK28_E @ ( SV1348 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1349 @ lAnna_THFTYPE_i @ SX0 ) )
              = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1451 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                  = lAnna_THFTYPE_i )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1450 @ lAnna_THFTYPE_i
            @ ( sK59_E @ SV1349 @ SV1348
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) ) ) )
          @ ( SV1451 @ lAnna_THFTYPE_i
            @ ( sK59_E @ SV1349 @ SV1348
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK28_E
                @ ( SV1348
                  @ ( sK59_E @ SV1349 @ SV1348
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX1 @ SX2 ) @ ( SV1451 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1349
                  @ ( sK59_E @ SV1349 @ SV1348
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX1 @ SX2 ) @ ( SV1451 @ SX1 @ SX2 ) ) )
                  @ SX0 ) )
              = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1450
                @ ( sK59_E @ SV1349 @ SV1348
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX1 @ SX2 ) @ ( SV1451 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1451
                @ ( sK59_E @ SV1349 @ SV1348
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX1 @ SX2 ) @ ( SV1451 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ( SV1348 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                    = lAnna_THFTYPE_i ) ) )
            @ ( SV1349 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                    = lAnna_THFTYPE_i ) ) ) )
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                = lAnna_THFTYPE_i ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) ) = lAnna_THFTYPE_i ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4443,plain,
    ! [SV1451: $i > $i > $i > $o,SV1450: $i > $i > $i > $o,SV1349: $i > $i > $i > $i > $o,SV1348: $i > $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK28_E @ ( SV1348 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1349 @ lAnna_THFTYPE_i @ SX0 ) )
              = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1451 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                  = lAnna_THFTYPE_i )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1450 @ lAnna_THFTYPE_i
            @ ( sK59_E @ SV1349 @ SV1348
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) ) ) )
          @ ( SV1451 @ lAnna_THFTYPE_i
            @ ( sK59_E @ SV1349 @ SV1348
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK28_E
                @ ( SV1348
                  @ ( sK59_E @ SV1349 @ SV1348
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX1 @ SX2 ) @ ( SV1451 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1349
                  @ ( sK59_E @ SV1349 @ SV1348
                    @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX1 @ SX2 ) @ ( SV1451 @ SX1 @ SX2 ) ) )
                  @ SX0 ) )
              = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1450
                @ ( sK59_E @ SV1349 @ SV1348
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX1 @ SX2 ) @ ( SV1451 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1451
                @ ( sK59_E @ SV1349 @ SV1348
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX1 @ SX2 ) @ ( SV1451 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ( SV1348 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                    = lAnna_THFTYPE_i ) ) )
            @ ( SV1349 @ lAnna_THFTYPE_i
              @ ( sK28_E
                @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) )
                @ ^ [SX0: $i,SX1: $i] :
                    ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                    = lAnna_THFTYPE_i ) ) ) )
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) )
                = lAnna_THFTYPE_i ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( sK28_E @ ( SV1348 @ SX0 @ SX1 ) @ ( SV1349 @ SX0 @ SX1 ) ) = lAnna_THFTYPE_i ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1450 @ SX0 @ SX1 ) @ ( SV1451 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4444,plain,
    ! [SV1433: $i > $i > $i > $o,SV1432: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = SX0 )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1433 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX1 = SX1 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX0 @ SX1 ) @ ( SV1433 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1432 @ lAnna_THFTYPE_i
            @ ( sK57_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX0 @ SX1 ) @ ( SV1433 @ SX0 @ SX1 ) ) ) )
          @ ( SV1433 @ lAnna_THFTYPE_i
            @ ( sK57_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX0 @ SX1 ) @ ( SV1433 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = SX0 )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1432
                @ ( sK57_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX1 @ SX2 ) @ ( SV1433 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1433
                @ ( sK57_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX1 @ SX2 ) @ ( SV1433 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX0 @ SX1 ) @ ( SV1433 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
          = lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX1 = SX1 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX0 @ SX1 ) @ ( SV1433 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4445,plain,
    ! [SV1433: $i > $i > $i > $o,SV1432: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = SX0 )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1433 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX1 = SX1 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX0 @ SX1 ) @ ( SV1433 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1432 @ lAnna_THFTYPE_i
            @ ( sK57_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX0 @ SX1 ) @ ( SV1433 @ SX0 @ SX1 ) ) ) )
          @ ( SV1433 @ lAnna_THFTYPE_i
            @ ( sK57_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX0 @ SX1 ) @ ( SV1433 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = SX0 )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1432
                @ ( sK57_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX1 @ SX2 ) @ ( SV1433 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1433
                @ ( sK57_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX1 @ SX2 ) @ ( SV1433 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX0 @ SX1 ) @ ( SV1433 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX1 = SX1 ) )
          = lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX1 = SX1 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1432 @ SX0 @ SX1 ) @ ( SV1433 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4446,plain,
    ! [SV1419: $i > $i > $i > $o,SV1418: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1419 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX1 = SX0 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX0 @ SX1 ) @ ( SV1419 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1418 @ lAnna_THFTYPE_i
            @ ( sK55_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX0 @ SX1 ) @ ( SV1419 @ SX0 @ SX1 ) ) ) )
          @ ( SV1419 @ lAnna_THFTYPE_i
            @ ( sK55_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX0 @ SX1 ) @ ( SV1419 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( SX0
              = ( sK55_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX1 @ SX2 ) @ ( SV1419 @ SX1 @ SX2 ) ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1418
                @ ( sK55_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX1 @ SX2 ) @ ( SV1419 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1419
                @ ( sK55_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX1 @ SX2 ) @ ( SV1419 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX1 = SX0 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX0 @ SX1 ) @ ( SV1419 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4447,plain,
    ! [SV1419: $i > $i > $i > $o,SV1418: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1419 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX1 = SX0 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX0 @ SX1 ) @ ( SV1419 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1418 @ lAnna_THFTYPE_i
            @ ( sK55_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX0 @ SX1 ) @ ( SV1419 @ SX0 @ SX1 ) ) ) )
          @ ( SV1419 @ lAnna_THFTYPE_i
            @ ( sK55_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX0 @ SX1 ) @ ( SV1419 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( SX0
              = ( sK55_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX1 @ SX2 ) @ ( SV1419 @ SX1 @ SX2 ) ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1418
                @ ( sK55_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX1 @ SX2 ) @ ( SV1419 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1419
                @ ( sK55_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX1 @ SX2 ) @ ( SV1419 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX1 = SX0 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1418 @ SX0 @ SX1 ) @ ( SV1419 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4448,plain,
    ! [SV1405: $i > $i > $i > $o,SV1404: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1405 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX1 = lAnna_THFTYPE_i )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ SX0 @ SX1 ) @ ( SV1405 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1404 @ lAnna_THFTYPE_i
            @ ( sK53_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ SX0 @ SX1 ) @ ( SV1405 @ SX0 @ SX1 ) ) ) )
          @ ( SV1405 @ lAnna_THFTYPE_i
            @ ( sK53_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ SX0 @ SX1 ) @ ( SV1405 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1404
                @ ( sK53_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ SX1 @ SX2 ) @ ( SV1405 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1405
                @ ( sK53_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ SX1 @ SX2 ) @ ( SV1405 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX1 = lAnna_THFTYPE_i ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ SX0 @ SX1 ) @ ( SV1405 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4449,plain,
    ! [SV1405: $i > $i > $i > $o,SV1404: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1405 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX1 = lAnna_THFTYPE_i )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ SX0 @ SX1 ) @ ( SV1405 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1404 @ lAnna_THFTYPE_i
            @ ( sK53_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ SX0 @ SX1 ) @ ( SV1405 @ SX0 @ SX1 ) ) ) )
          @ ( SV1405 @ lAnna_THFTYPE_i
            @ ( sK53_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ SX0 @ SX1 ) @ ( SV1405 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1404
                @ ( sK53_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ SX1 @ SX2 ) @ ( SV1405 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1405
                @ ( sK53_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ SX1 @ SX2 ) @ ( SV1405 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX1 = lAnna_THFTYPE_i ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1404 @ SX0 @ SX1 ) @ ( SV1405 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4450,plain,
    ! [SV1387: $i > $i > $i > $o,SV1386: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = SX0 )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1387 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX0 = SX1 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1386 @ lAnna_THFTYPE_i
            @ ( sK51_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) ) ) )
          @ ( SV1387 @ lAnna_THFTYPE_i
            @ ( sK51_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK51_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX1 @ SX2 ) @ ( SV1387 @ SX1 @ SX2 ) ) )
              = SX0 )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1386
                @ ( sK51_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX1 @ SX2 ) @ ( SV1387 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1387
                @ ( sK51_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX1 @ SX2 ) @ ( SV1387 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX0 = SX1 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4451,plain,
    ! [SV1387: $i > $i > $i > $o,SV1386: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = SX0 )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1387 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX0 = SX1 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1386 @ lAnna_THFTYPE_i
            @ ( sK51_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) ) ) )
          @ ( SV1387 @ lAnna_THFTYPE_i
            @ ( sK51_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK51_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX1 @ SX2 ) @ ( SV1387 @ SX1 @ SX2 ) ) )
              = SX0 )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1386
                @ ( sK51_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX1 @ SX2 ) @ ( SV1387 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1387
                @ ( sK51_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX1 @ SX2 ) @ ( SV1387 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX0 = SX1 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1386 @ SX0 @ SX1 ) @ ( SV1387 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4452,plain,
    ! [SV1373: $i > $i > $i > $o,SV1372: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1373 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX0 = SX0 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX0 @ SX1 ) @ ( SV1373 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1372 @ lAnna_THFTYPE_i
            @ ( sK49_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX0 @ SX1 ) @ ( SV1373 @ SX0 @ SX1 ) ) ) )
          @ ( SV1373 @ lAnna_THFTYPE_i
            @ ( sK49_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX0 @ SX1 ) @ ( SV1373 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK49_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX1 @ SX2 ) @ ( SV1373 @ SX1 @ SX2 ) ) )
              = ( sK49_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX1 @ SX2 ) @ ( SV1373 @ SX1 @ SX2 ) ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1372
                @ ( sK49_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX1 @ SX2 ) @ ( SV1373 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1373
                @ ( sK49_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX1 @ SX2 ) @ ( SV1373 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX0 @ SX1 ) @ ( SV1373 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX0 = SX0 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX0 @ SX1 ) @ ( SV1373 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4453,plain,
    ! [SV1373: $i > $i > $i > $o,SV1372: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1373 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX0 = SX0 )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX0 @ SX1 ) @ ( SV1373 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1372 @ lAnna_THFTYPE_i
            @ ( sK49_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX0 @ SX1 ) @ ( SV1373 @ SX0 @ SX1 ) ) ) )
          @ ( SV1373 @ lAnna_THFTYPE_i
            @ ( sK49_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX0 @ SX1 ) @ ( SV1373 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK49_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX1 @ SX2 ) @ ( SV1373 @ SX1 @ SX2 ) ) )
              = ( sK49_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX1 @ SX2 ) @ ( SV1373 @ SX1 @ SX2 ) ) ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1372
                @ ( sK49_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX1 @ SX2 ) @ ( SV1373 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1373
                @ ( sK49_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX1 @ SX2 ) @ ( SV1373 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX0 @ SX1 ) @ ( SV1373 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX0 = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX0 = SX0 ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1372 @ SX0 @ SX1 ) @ ( SV1373 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4454,plain,
    ! [SV1359: $i > $i > $i > $o,SV1358: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1359 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX0 = lAnna_THFTYPE_i )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX0 @ SX1 ) @ ( SV1359 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1358 @ lAnna_THFTYPE_i
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX0 @ SX1 ) @ ( SV1359 @ SX0 @ SX1 ) ) ) )
          @ ( SV1359 @ lAnna_THFTYPE_i
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX0 @ SX1 ) @ ( SV1359 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK47_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX1 @ SX2 ) @ ( SV1359 @ SX1 @ SX2 ) ) )
              = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1358
                @ ( sK47_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX1 @ SX2 ) @ ( SV1359 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1359
                @ ( sK47_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX1 @ SX2 ) @ ( SV1359 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX0 @ SX1 ) @ ( SV1359 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX0 = lAnna_THFTYPE_i ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX0 = lAnna_THFTYPE_i ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX0 @ SX1 ) @ ( SV1359 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4455,plain,
    ! [SV1359: $i > $i > $i > $o,SV1358: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( lAnna_THFTYPE_i = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1359 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] : ( SX0 = lAnna_THFTYPE_i )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX0 @ SX1 ) @ ( SV1359 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1358 @ lAnna_THFTYPE_i
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX0 @ SX1 ) @ ( SV1359 @ SX0 @ SX1 ) ) ) )
          @ ( SV1359 @ lAnna_THFTYPE_i
            @ ( sK47_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX0 @ SX1 ) @ ( SV1359 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( sK47_E
                @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX1 @ SX2 ) @ ( SV1359 @ SX1 @ SX2 ) ) )
              = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1358
                @ ( sK47_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX1 @ SX2 ) @ ( SV1359 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1359
                @ ( sK47_E
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX1 @ SX2 ) @ ( SV1359 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX0 @ SX1 ) @ ( SV1359 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] : ( SX0 = lAnna_THFTYPE_i ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( SX0 = lAnna_THFTYPE_i ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1358 @ SX0 @ SX1 ) @ ( SV1359 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4456,plain,
    ! [SV1509: $i > $i > $i > $i > $o,SV1508: $i > $i > $i > $i > $o,SV1501: $i > $i > $i > $i,SV1198: $i > $i > $i,SV1199: $i > $i > $i,SV1500: $i > $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1500 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1501 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1509 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1508 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK67_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1509 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK67_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1500
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK67_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1501
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK67_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1508
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK67_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1509
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK67_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                    = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ( SV1500 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1501 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1198
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1500 @ SX0 @ SX1 @ SX2 ) = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4457,plain,
    ! [SV1509: $i > $i > $i > $i > $o,SV1508: $i > $i > $i > $i > $o,SV1501: $i > $i > $i > $i,SV1198: $i > $i > $i,SV1199: $i > $i > $i,SV1500: $i > $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1500 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1501 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1509 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1508 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK67_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1509 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK67_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1500
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK67_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1501
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK67_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1508
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK67_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1509
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK67_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX1 @ SX2 @ SX3 ) @ ( SV1509 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                    = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ( SV1500 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1501 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1198
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1500 @ SX0 @ SX1 @ SX2 ) = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1508 @ SX0 @ SX1 @ SX2 ) @ ( SV1509 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4458,plain,
    ! [SV1527: $i > $i > $i > $i > $o,SV1526: $i > $i > $i > $i > $o,SV1500: $i > $i > $i > $i,SV1198: $i > $i > $i,SV1199: $i > $i > $i,SV1501: $i > $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1500 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1501 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1527 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1526 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK69_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1527 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK69_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1500
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK69_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1501
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK69_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1526
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK69_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1527
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK69_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                    = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ( SV1501 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1500 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1198
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1500 @ SX0 @ SX1 @ SX2 ) = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4459,plain,
    ! [SV1527: $i > $i > $i > $i > $o,SV1526: $i > $i > $i > $i > $o,SV1500: $i > $i > $i > $i,SV1198: $i > $i > $i,SV1199: $i > $i > $i,SV1501: $i > $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1500 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1501 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1527 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1526 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK69_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1527 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK69_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1500
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK69_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1501
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK69_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1526
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK69_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1527
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK69_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX1 @ SX2 @ SX3 ) @ ( SV1527 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                    = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ( SV1501 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1500 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1198
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1500 @ SX0 @ SX1 @ SX2 ) = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1526 @ SX0 @ SX1 @ SX2 ) @ ( SV1527 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4460,plain,
    ! [SV1545: $i > $i > $i > $i > $o,SV1544: $i > $i > $i > $i > $o,SV1501: $i > $i > $i > $i,SV1500: $i > $i > $i > $i,SV1199: $i > $i > $i,SV1198: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1500 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1501 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1545 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1544 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK71_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1545 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK71_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1500
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK71_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1501
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK71_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1544
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK71_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1545
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK71_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( SV1500 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1501 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( ( SV1198
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                    = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1500 @ SX0 @ SX1 @ SX2 ) = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4461,plain,
    ! [SV1545: $i > $i > $i > $i > $o,SV1544: $i > $i > $i > $i > $o,SV1501: $i > $i > $i > $i,SV1500: $i > $i > $i > $i,SV1199: $i > $i > $i,SV1198: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1500 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1501 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1545 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1544 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK71_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1545 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK71_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1500
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK71_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1501
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK71_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1544
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK71_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1545
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK71_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX1 @ SX2 @ SX3 ) @ ( SV1545 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( SV1500 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1501 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( ( SV1198
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                    = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1500 @ SX0 @ SX1 @ SX2 ) = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1544 @ SX0 @ SX1 @ SX2 ) @ ( SV1545 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4462,plain,
    ! [SV1563: $i > $i > $i > $i > $o,SV1562: $i > $i > $i > $i > $o,SV1501: $i > $i > $i > $i,SV1500: $i > $i > $i > $i,SV1199: $i > $i > $i,SV1198: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1500 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1501 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1563 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1562 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK73_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1563 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK73_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1500
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK73_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1501
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK73_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1562
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK73_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1563
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK73_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( SV1500 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1501 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1198
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                    = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1500 @ SX0 @ SX1 @ SX2 ) = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4463,plain,
    ! [SV1563: $i > $i > $i > $i > $o,SV1562: $i > $i > $i > $i > $o,SV1501: $i > $i > $i > $i,SV1500: $i > $i > $i > $i,SV1199: $i > $i > $i,SV1198: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1500 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1501 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1563 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1562 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK73_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1563 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK73_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1500
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK73_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1501
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK73_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1562
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK73_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1563
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1500 @ SX1 @ SX2 @ SX3 )
                          = ( SV1501 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK73_E @ SV1501 @ SV1500 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX1 @ SX2 @ SX3 ) @ ( SV1563 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( SV1500 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1501 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1198
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK66_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                  = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                      = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1500 @ SX0 @ SX1 @ SX2 )
                    = ( SV1501 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1500 @ SX0 @ SX1 @ SX2 ) = ( SV1501 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1562 @ SX0 @ SX1 @ SX2 ) @ ( SV1563 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4464,plain,
    ! [SV1493: $i > $i > $i > $o,SV1492: $i > $i > $i > $o,SV1199: $i > $i > $i,SV1198: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1493 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1492 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) ) ) )
          @ ( SV1493 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX1 @ SX2 ) @ ( SV1493 @ SX1 @ SX2 ) ) )
                @ SX0 )
              = ( SV1199
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX1 @ SX2 ) @ ( SV1493 @ SX1 @ SX2 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1492
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX1 @ SX2 ) @ ( SV1493 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1493
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX1 @ SX2 ) @ ( SV1493 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4465,plain,
    ! [SV1493: $i > $i > $i > $o,SV1492: $i > $i > $i > $o,SV1199: $i > $i > $i,SV1198: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1493 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1492 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) ) ) )
          @ ( SV1493 @ lAnna_THFTYPE_i
            @ ( sK65_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX1 @ SX2 ) @ ( SV1493 @ SX1 @ SX2 ) ) )
                @ SX0 )
              = ( SV1199
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX1 @ SX2 ) @ ( SV1493 @ SX1 @ SX2 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1492
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX1 @ SX2 ) @ ( SV1493 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1493
                @ ( sK65_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX1 @ SX2 ) @ ( SV1493 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1492 @ SX0 @ SX1 ) @ ( SV1493 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4466,plain,
    ! [SV1595: $i > $i > $i > $i > $o,SV1594: $i > $i > $i > $i > $o,SV1587: $i > $i > $i > $i,SV1198: $i > $i > $i,SV1199: $i > $i > $i,SV1586: $i > $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1586 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1587 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1595 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1594 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK77_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1595 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK77_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1586
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK77_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1587
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK77_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1594
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK77_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1595
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK77_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                    = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV1586 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1587 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1198
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1586 @ SX0 @ SX1 @ SX2 ) = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4467,plain,
    ! [SV1595: $i > $i > $i > $i > $o,SV1594: $i > $i > $i > $i > $o,SV1587: $i > $i > $i > $i,SV1198: $i > $i > $i,SV1199: $i > $i > $i,SV1586: $i > $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1586 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1587 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1595 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1594 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK77_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1595 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK77_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1586
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK77_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1587
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK77_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1594
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK77_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1595
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK77_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX1 @ SX2 @ SX3 ) @ ( SV1595 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                    = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV1586 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1587 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1198
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1586 @ SX0 @ SX1 @ SX2 ) = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1594 @ SX0 @ SX1 @ SX2 ) @ ( SV1595 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4468,plain,
    ! [SV1613: $i > $i > $i > $i > $o,SV1612: $i > $i > $i > $i > $o,SV1586: $i > $i > $i > $i,SV1198: $i > $i > $i,SV1199: $i > $i > $i,SV1587: $i > $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1586 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1587 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1613 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1612 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK79_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1613 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK79_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1586
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK79_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1587
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK79_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1612
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK79_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1613
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK79_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                    = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV1587 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1586 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1198
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1586 @ SX0 @ SX1 @ SX2 ) = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4469,plain,
    ! [SV1613: $i > $i > $i > $i > $o,SV1612: $i > $i > $i > $i > $o,SV1586: $i > $i > $i > $i,SV1198: $i > $i > $i,SV1199: $i > $i > $i,SV1587: $i > $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1586 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1587 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1613 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1612 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK79_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1613 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK79_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1586
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK79_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1587
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK79_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1612
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK79_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1613
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK79_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX1 @ SX2 @ SX3 ) @ ( SV1613 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                    = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV1587 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1586 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1198
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1586 @ SX0 @ SX1 @ SX2 ) = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1612 @ SX0 @ SX1 @ SX2 ) @ ( SV1613 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4470,plain,
    ! [SV1631: $i > $i > $i > $i > $o,SV1630: $i > $i > $i > $i > $o,SV1587: $i > $i > $i > $i,SV1586: $i > $i > $i > $i,SV1199: $i > $i > $i,SV1198: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1586 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1587 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1631 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1630 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK81_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1631 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK81_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1586
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK81_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1587
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK81_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1630
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK81_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1631
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK81_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( SV1586 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1587 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( ( SV1198
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                    = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1586 @ SX0 @ SX1 @ SX2 ) = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4471,plain,
    ! [SV1631: $i > $i > $i > $i > $o,SV1630: $i > $i > $i > $i > $o,SV1587: $i > $i > $i > $i,SV1586: $i > $i > $i > $i,SV1199: $i > $i > $i,SV1198: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1586 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1587 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1631 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1630 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK81_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1631 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK81_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1586
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK81_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1587
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK81_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1630
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK81_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1631
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK81_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX1 @ SX2 @ SX3 ) @ ( SV1631 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( SV1586 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1587 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( ( SV1198
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                    = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1586 @ SX0 @ SX1 @ SX2 ) = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1630 @ SX0 @ SX1 @ SX2 ) @ ( SV1631 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4472,plain,
    ! [SV1649: $i > $i > $i > $i > $o,SV1648: $i > $i > $i > $i > $o,SV1587: $i > $i > $i > $i,SV1586: $i > $i > $i > $i,SV1199: $i > $i > $i,SV1198: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1586 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1587 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1649 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1648 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK83_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1649 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK83_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1586
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK83_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1587
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK83_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1648
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK83_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1649
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK83_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( SV1586 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1587 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1198
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                    = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1586 @ SX0 @ SX1 @ SX2 ) = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4473,plain,
    ! [SV1649: $i > $i > $i > $i > $o,SV1648: $i > $i > $i > $i > $o,SV1587: $i > $i > $i > $i,SV1586: $i > $i > $i > $i,SV1199: $i > $i > $i,SV1198: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1586 @ lAnna_THFTYPE_i @ SX0 @ SX1 )
                  = ( SV1587 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) @ ( SV1649 @ lAnna_THFTYPE_i @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1648 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK83_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
          @ ( SV1649 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK83_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1586
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK83_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              = ( SV1587
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK83_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1648
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK83_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 )
              @ ( SV1649
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] :
                      ( subrelation_THFTYPE_IIioIIioIoI
                      @ ^ [SX3: $i] :
                          ( ( SV1586 @ SX1 @ SX2 @ SX3 )
                          = ( SV1587 @ SX1 @ SX2 @ SX3 ) )
                      @ ^ [SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) ) )
                @ ( sK83_E @ SV1587 @ SV1586 @ SV1198 @ SV1199
                  @ ^ [SX1: $i,SX2: $i,SX3: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX1 @ SX2 @ SX3 ) @ ( SV1649 @ SX1 @ SX2 @ SX3 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( SV1586 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1587 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1198
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) )
          = ( SV1199
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) )
            @ ( sK76_E
              @ ^ [SX0: $i,SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) )
              @ SV1198
              @ SV1199
              @ ^ [SX0: $i,SX1: $i,SX2: $i] :
                  ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                  = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] :
                  ( subrelation_THFTYPE_IIioIIioIoI
                  @ ^ [SX2: $i] :
                      ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                      = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                  @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] :
                ( subrelation_THFTYPE_IIioIIioIoI
                @ ^ [SX2: $i] :
                    ( ( SV1586 @ SX0 @ SX1 @ SX2 )
                    = ( SV1587 @ SX0 @ SX1 @ SX2 ) )
                @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX2: $i] : ( ( SV1586 @ SX0 @ SX1 @ SX2 ) = ( SV1587 @ SX0 @ SX1 @ SX2 ) ) @ ^ [SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1648 @ SX0 @ SX1 @ SX2 ) @ ( SV1649 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).

thf(4474,plain,
    ! [SV1579: $i > $i > $i > $o,SV1578: $i > $i > $i > $o,SV1199: $i > $i > $i,SV1198: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1579 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1578 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) ) ) )
          @ ( SV1579 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX1 @ SX2 ) @ ( SV1579 @ SX1 @ SX2 ) ) )
                @ SX0 )
              = ( SV1199
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX1 @ SX2 ) @ ( SV1579 @ SX1 @ SX2 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1578
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX1 @ SX2 ) @ ( SV1579 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1579
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX1 @ SX2 ) @ ( SV1579 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $true )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4475,plain,
    ! [SV1579: $i > $i > $i > $o,SV1578: $i > $i > $i > $o,SV1199: $i > $i > $i,SV1198: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1199 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1579 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) )
              @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1578 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) ) ) )
          @ ( SV1579 @ lAnna_THFTYPE_i
            @ ( sK75_E @ SV1199 @ SV1198
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1198
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX1 @ SX2 ) @ ( SV1579 @ SX1 @ SX2 ) ) )
                @ SX0 )
              = ( SV1199
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX1 @ SX2 ) @ ( SV1579 @ SX1 @ SX2 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ( subrelation_THFTYPE_IIioIIioIoI
              @ ( SV1578
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX1 @ SX2 ) @ ( SV1579 @ SX1 @ SX2 ) ) )
                @ SX0 )
              @ ( SV1579
                @ ( sK75_E @ SV1199 @ SV1198
                  @ ^ [SX1: $i,SX2: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX1 @ SX2 ) @ ( SV1579 @ SX1 @ SX2 ) ) )
                @ SX0 ) ) )
        = $false )
      | ( ( ( SV1198 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) )
          = ( SV1199 @ lAnna_THFTYPE_i
            @ ( sK28_E
              @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1198 @ SX0 @ SX1 )
                  = ( SV1199 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK28_E
            @ ^ [SX0: $i,SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1198 @ SX0 @ SX1 )
                = ( SV1199 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[3926:[bind(SV215,$thf( ^ [SX0: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1198 @ SX0 @ SX1 ) = ( SV1199 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1578 @ SX0 @ SX1 ) @ ( SV1579 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4478,plain,
    ! [SV1809: $i > $i > $i > $o,SV1671: $i > $i > $i,SV1672: $i > $i > $i,SV1808: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1808 @ lAnna_THFTYPE_i
            @ ( sK104_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) ) ) )
          @ ( SV1809 @ lAnna_THFTYPE_i
            @ ( sK104_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                @ SX0 )
              = ( SV1672
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI
                @ ( SV1808
                  @ ( sK104_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1809
                  @ ( sK104_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
        = $true )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1809 @ lAnna_THFTYPE_i @ SX0 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[4045:[bind(SV215,$thf( ^ [SX0: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1671 @ SX0 @ SX1 ) = ( SV1672 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4479,plain,
    ! [SV1809: $i > $i > $i > $o,SV1671: $i > $i > $i,SV1672: $i > $i > $i,SV1808: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1808 @ lAnna_THFTYPE_i
            @ ( sK104_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) ) ) )
          @ ( SV1809 @ lAnna_THFTYPE_i
            @ ( sK104_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                @ SX0 )
              = ( SV1672
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI
                @ ( SV1808
                  @ ( sK104_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1809
                  @ ( sK104_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
        = $false )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1809 @ lAnna_THFTYPE_i @ SX0 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[4045:[bind(SV215,$thf( ^ [SX0: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1671 @ SX0 @ SX1 ) = ( SV1672 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4480,plain,
    ! [SV1671: $i > $i > $i,SV1672: $i > $i > $i,SV1803: $i > $i > $o] :
      ( ( ( ~ ( SV1803 @ lAnna_THFTYPE_i
              @ ( sK104_E @ SV1672 @ SV1671
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV1803 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671
                    @ ( sK104_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1803 @ SX1 @ SX2 ) )
                    @ SX0 )
                  = ( SV1672
                    @ ( sK104_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1803 @ SX1 @ SX2 ) )
                    @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1803
                    @ ( sK104_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1803 @ SX1 @ SX2 ) )
                    @ SX0 ) ) )
        = $true )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1803 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[4045:[bind(SV215,$thf( ^ [SX0: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1671 @ SX0 @ SX1 ) = ( SV1672 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ~ ( SV1803 @ SX0 @ SX1 ) ) ))]]) ).

thf(4481,plain,
    ! [SV1671: $i > $i > $i,SV1672: $i > $i > $i,SV1803: $i > $i > $o] :
      ( ( ( ~ ( SV1803 @ lAnna_THFTYPE_i
              @ ( sK104_E @ SV1672 @ SV1671
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV1803 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671
                    @ ( sK104_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1803 @ SX1 @ SX2 ) )
                    @ SX0 )
                  = ( SV1672
                    @ ( sK104_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1803 @ SX1 @ SX2 ) )
                    @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1803
                    @ ( sK104_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1803 @ SX1 @ SX2 ) )
                    @ SX0 ) ) )
        = $false )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1803 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[4045:[bind(SV215,$thf( ^ [SX0: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1671 @ SX0 @ SX1 ) = ( SV1672 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ~ ( SV1803 @ SX0 @ SX1 ) ) ))]]) ).

thf(4482,plain,
    ! [SV1828: $i > $i > $i > $o,SV1671: $i > $i > $i,SV1672: $i > $i > $i,SV1827: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1827 @ lAnna_THFTYPE_i
            @ ( sK106_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) ) ) )
          @ ( SV1828 @ lAnna_THFTYPE_i
            @ ( sK106_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                @ SX0 )
              = ( SV1672
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI
                @ ( SV1827
                  @ ( sK106_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1828
                  @ ( sK106_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
        = $true )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1828 @ lAnna_THFTYPE_i @ SX0 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[4045:[bind(SV215,$thf( ^ [SX0: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1671 @ SX0 @ SX1 ) = ( SV1672 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4483,plain,
    ! [SV1828: $i > $i > $i > $o,SV1671: $i > $i > $i,SV1672: $i > $i > $i,SV1827: $i > $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1827 @ lAnna_THFTYPE_i
            @ ( sK106_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) ) ) )
          @ ( SV1828 @ lAnna_THFTYPE_i
            @ ( sK106_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                @ SX0 )
              = ( SV1672
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI
                @ ( SV1827
                  @ ( sK106_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1828
                  @ ( sK106_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
        = $false )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1828 @ lAnna_THFTYPE_i @ SX0 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[4045:[bind(SV215,$thf( ^ [SX0: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1671 @ SX0 @ SX1 ) = ( SV1672 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(4484,plain,
    ! [SV1671: $i > $i > $i,SV1672: $i > $i > $i,SV1822: $i > $i > $o] :
      ( ( ( ~ ( SV1822 @ lAnna_THFTYPE_i
              @ ( sK106_E @ SV1672 @ SV1671
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV1822 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671
                    @ ( sK106_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1822 @ SX1 @ SX2 ) )
                    @ SX0 )
                  = ( SV1672
                    @ ( sK106_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1822 @ SX1 @ SX2 ) )
                    @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1822
                    @ ( sK106_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1822 @ SX1 @ SX2 ) )
                    @ SX0 ) ) )
        = $true )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1822 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[4045:[bind(SV215,$thf( ^ [SX0: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1671 @ SX0 @ SX1 ) = ( SV1672 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ~ ( SV1822 @ SX0 @ SX1 ) ) ))]]) ).

thf(4485,plain,
    ! [SV1671: $i > $i > $i,SV1672: $i > $i > $i,SV1822: $i > $i > $o] :
      ( ( ( ~ ( SV1822 @ lAnna_THFTYPE_i
              @ ( sK106_E @ SV1672 @ SV1671
                @ ^ [SX0: $i,SX1: $i] :
                    ~ ( SV1822 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671
                    @ ( sK106_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1822 @ SX1 @ SX2 ) )
                    @ SX0 )
                  = ( SV1672
                    @ ( sK106_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1822 @ SX1 @ SX2 ) )
                    @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1822
                    @ ( sK106_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1822 @ SX1 @ SX2 ) )
                    @ SX0 ) ) )
        = $false )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1822 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[4045:[bind(SV215,$thf( ^ [SX0: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ^ [SX1: $i] : ( ( SV1671 @ SX0 @ SX1 ) = ( SV1672 @ SX0 @ SX1 ) ) @ ^ [SX1: $i] : ~ ( SV1822 @ SX0 @ SX1 ) ) ))]]) ).

thf(4487,plain,
    ! [SV1666: $i > $i > $o,SV1665: $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1665 @ lAnna_THFTYPE_i ) @ ( SV1666 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1665 @ SX0 ) @ ( SV1666 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1665 @ lAnna_THFTYPE_i ) @ ( SV1666 @ lAnna_THFTYPE_i ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[4045:[bind(SV215,$thf( ^ [SX0: $i] : ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1665 @ SX0 ) @ ( SV1666 @ SX0 ) ) ))]]) ).

thf(4488,plain,
    ! [SV1662: $i > $o] :
      ( ( ( ~ ( SV1662 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
              @ ^ [SX0: $i] :
                  ~ ( SV1662 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( SV1662 @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[4045:[bind(SV215,$thf( ^ [SX0: $i] : ~ ( SV1662 @ SX0 ) ))]]) ).

thf(4490,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV260: $i > $o] :
      ( ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4061]) ).

thf(4491,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV260: $i > $o] :
      ( ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4060]) ).

thf(4492,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV264: $i > $o,SV263: $i > $o] :
      ( ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4059]) ).

thf(4493,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV263: $i > $o,SV264: $i > $o] :
      ( ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4059]) ).

thf(4494,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV264: $i > $o,SV263: $i > $o] :
      ( ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4058]) ).

thf(4495,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV257: $i > $i,SV319: $i > $o] :
      ( ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4057]) ).

thf(4496,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV257: $i > $i,SV319: $i > $o] :
      ( ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4056]) ).

thf(4497,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV323: $i > $o,SV257: $i > $i,SV322: $i > $o] :
      ( ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4055]) ).

thf(4498,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV322: $i > $o,SV257: $i > $i,SV323: $i > $o] :
      ( ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4055]) ).

thf(4499,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV257: $i > $i,SV323: $i > $o,SV322: $i > $o] :
      ( ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4054]) ).

thf(4500,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV293: $i > $o] :
      ( ( ( SV293 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4053]) ).

thf(4501,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV293: $i > $o] :
      ( ( ( SV293 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4052]) ).

thf(4502,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV297: $i > $o,SV296: $i > $o] :
      ( ( ( SV296 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4051]) ).

thf(4503,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV296: $i > $o,SV297: $i > $o] :
      ( ( ( SV297 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4051]) ).

thf(4504,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV297: $i > $o,SV296: $i > $o] :
      ( ( ( SV296 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4050]) ).

thf(4505,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV306: $i > $o] :
      ( ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4049]) ).

thf(4506,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV306: $i > $o] :
      ( ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                    | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV116 != SV114 ) ) ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4048]) ).

thf(4507,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV310: $i > $o,SV309: $i > $o] :
      ( ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4047]) ).

thf(4508,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV309: $i > $o,SV310: $i > $o] :
      ( ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4047]) ).

thf(4509,plain,
    ! [SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o,SV310: $i > $o,SV309: $i > $o] :
      ( ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4046]) ).

thf(4510,plain,
    ! [SV197: $o,SV358: $i > $i,SV362: $i > $o] :
      ( ( ( SV362 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 )
              @ ~ ( SV362 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ lAnna_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4072]) ).

thf(4511,plain,
    ! [SV197: $o,SV358: $i > $i,SV362: $i > $o] :
      ( ( ( SV362 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 )
              @ ~ ( SV362 @ SX0 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ lAnna_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( ~ SV197 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4071]) ).

thf(4512,plain,
    ! [SV372: $i > $o] :
      ( ( ( SV372 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV372 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4090]) ).

thf(4513,plain,
    ! [SV372: $i > $o] :
      ( ( ( SV372 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV372 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4089]) ).

thf(4514,plain,
    ! [SV369: $i > $i,SV405: $i > $o] :
      ( ( ( SV405 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV369 @ SX0 ) )
              @ ~ ( SV405 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV369 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4086]) ).

thf(4515,plain,
    ! [SV369: $i > $i,SV405: $i > $o] :
      ( ( ( SV405 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV369 @ SX0 ) )
              @ ~ ( SV405 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV369 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4085]) ).

thf(4516,plain,
    ! [SV387: $i > $o] :
      ( ( ( SV387 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV387 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4082]) ).

thf(4517,plain,
    ! [SV387: $i > $o] :
      ( ( ( SV387 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV387 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4081]) ).

thf(4518,plain,
    ! [SV396: $i > $o] :
      ( ( ( SV396 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV396 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4078]) ).

thf(4519,plain,
    ! [SV396: $i > $o] :
      ( ( ( SV396 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV396 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4077]) ).

thf(4520,plain,
    ! [SV425: $i > $o] :
      ( ( ( SV425 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV425 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4108]) ).

thf(4521,plain,
    ! [SV425: $i > $o] :
      ( ( ( SV425 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV425 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4107]) ).

thf(4522,plain,
    ! [SV422: $i > $i,SV458: $i > $o] :
      ( ( ( SV458 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV422 @ SX0 ) )
              @ ~ ( SV458 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV422 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4104]) ).

thf(4523,plain,
    ! [SV422: $i > $i,SV458: $i > $o] :
      ( ( ( SV458 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV422 @ SX0 ) )
              @ ~ ( SV458 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV422 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4103]) ).

thf(4524,plain,
    ! [SV440: $i > $o] :
      ( ( ( SV440 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV440 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4100]) ).

thf(4525,plain,
    ! [SV440: $i > $o] :
      ( ( ( SV440 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV440 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4099]) ).

thf(4526,plain,
    ! [SV449: $i > $o] :
      ( ( ( SV449 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV449 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4096]) ).

thf(4527,plain,
    ! [SV449: $i > $o] :
      ( ( ( SV449 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV449 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4095]) ).

thf(4528,plain,
    ! [SV478: $i > $o] :
      ( ( ( SV478 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV478 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4126]) ).

thf(4529,plain,
    ! [SV478: $i > $o] :
      ( ( ( SV478 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV478 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4125]) ).

thf(4530,plain,
    ! [SV475: $i > $i,SV511: $i > $o] :
      ( ( ( SV511 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV475 @ SX0 ) )
              @ ~ ( SV511 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV475 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4122]) ).

thf(4531,plain,
    ! [SV475: $i > $i,SV511: $i > $o] :
      ( ( ( SV511 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV475 @ SX0 ) )
              @ ~ ( SV511 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV475 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4121]) ).

thf(4532,plain,
    ! [SV493: $i > $o] :
      ( ( ( SV493 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV493 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4118]) ).

thf(4533,plain,
    ! [SV493: $i > $o] :
      ( ( ( SV493 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV493 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4117]) ).

thf(4534,plain,
    ! [SV502: $i > $o] :
      ( ( ( SV502 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV502 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4114]) ).

thf(4535,plain,
    ! [SV502: $i > $o] :
      ( ( ( SV502 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV502 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4113]) ).

thf(4536,plain,
    ! [SV531: $i > $o] :
      ( ( ( SV531 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV531 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4144]) ).

thf(4537,plain,
    ! [SV531: $i > $o] :
      ( ( ( SV531 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV531 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4143]) ).

thf(4538,plain,
    ! [SV528: $i > $i,SV564: $i > $o] :
      ( ( ( SV564 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV528 @ SX0 ) )
              @ ~ ( SV564 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV528 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4140]) ).

thf(4539,plain,
    ! [SV528: $i > $i,SV564: $i > $o] :
      ( ( ( SV564 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV528 @ SX0 ) )
              @ ~ ( SV564 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV528 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4139]) ).

thf(4540,plain,
    ! [SV546: $i > $o] :
      ( ( ( SV546 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV546 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4136]) ).

thf(4541,plain,
    ! [SV546: $i > $o] :
      ( ( ( SV546 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV546 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4135]) ).

thf(4542,plain,
    ! [SV555: $i > $o] :
      ( ( ( SV555 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV555 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4132]) ).

thf(4543,plain,
    ! [SV555: $i > $o] :
      ( ( ( SV555 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV555 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4131]) ).

thf(4544,plain,
    ! [SV584: $i > $o] :
      ( ( ( SV584 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV584 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4162]) ).

thf(4545,plain,
    ! [SV584: $i > $o] :
      ( ( ( SV584 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV584 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4161]) ).

thf(4546,plain,
    ! [SV581: $i > $i,SV617: $i > $o] :
      ( ( ( SV617 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV581 @ SX0 ) )
              @ ~ ( SV617 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV581 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4158]) ).

thf(4547,plain,
    ! [SV581: $i > $i,SV617: $i > $o] :
      ( ( ( SV617 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV581 @ SX0 ) )
              @ ~ ( SV617 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV581 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4157]) ).

thf(4548,plain,
    ! [SV599: $i > $o] :
      ( ( ( SV599 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV599 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4154]) ).

thf(4549,plain,
    ! [SV599: $i > $o] :
      ( ( ( SV599 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV599 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4153]) ).

thf(4550,plain,
    ! [SV608: $i > $o] :
      ( ( ( SV608 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV608 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4150]) ).

thf(4551,plain,
    ! [SV608: $i > $o] :
      ( ( ( SV608 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV608 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4149]) ).

thf(4552,plain,
    ! [SV637: $i > $o] :
      ( ( ( SV637 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV637 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4184]) ).

thf(4553,plain,
    ! [SV637: $i > $o] :
      ( ( ( SV637 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV637 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4183]) ).

thf(4554,plain,
    ! [SV640: $i > $o] :
      ( ( ( SV640 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV640 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4182]) ).

thf(4555,plain,
    ! [SV640: $i > $o] :
      ( ( ( SV640 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV640 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4181]) ).

thf(4556,plain,
    ! [SV634: $i > $i,SV671: $i > $o] :
      ( ( ( SV671 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ( SV671 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4178]) ).

thf(4557,plain,
    ! [SV634: $i > $i,SV671: $i > $o] :
      ( ( ( SV671 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ( SV671 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4177]) ).

thf(4558,plain,
    ! [SV634: $i > $i,SV674: $i > $o] :
      ( ( ( SV674 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ~ ( SV674 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4176]) ).

thf(4559,plain,
    ! [SV634: $i > $i,SV674: $i > $o] :
      ( ( ( SV674 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ~ ( SV674 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4175]) ).

thf(4560,plain,
    ! [SV651: $i > $o] :
      ( ( ( SV651 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV651 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4172]) ).

thf(4561,plain,
    ! [SV651: $i > $o] :
      ( ( ( SV651 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV651 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4171]) ).

thf(4562,plain,
    ! [SV654: $i > $o] :
      ( ( ( SV654 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV654 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4170]) ).

thf(4563,plain,
    ! [SV654: $i > $o] :
      ( ( ( SV654 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV654 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4169]) ).

thf(4564,plain,
    ! [SV661: $i > $o] :
      ( ( ( SV661 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV661 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4168]) ).

thf(4565,plain,
    ! [SV661: $i > $o] :
      ( ( ( SV661 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV661 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4167]) ).

thf(4566,plain,
    ! [SV664: $i > $o] :
      ( ( ( SV664 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV664 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4166]) ).

thf(4567,plain,
    ! [SV664: $i > $o] :
      ( ( ( SV664 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV664 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4165]) ).

thf(4568,plain,
    ! [SV739: $i > $o] :
      ( ( ( SV739 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV739 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4220]) ).

thf(4569,plain,
    ! [SV739: $i > $o] :
      ( ( ( SV739 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV739 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4219]) ).

thf(4570,plain,
    ! [SV736: $i > $i,SV772: $i > $o] :
      ( ( ( SV772 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV736 @ SX0 ) )
              @ ~ ( SV772 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV736 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4216]) ).

thf(4571,plain,
    ! [SV736: $i > $i,SV772: $i > $o] :
      ( ( ( SV772 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV736 @ SX0 ) )
              @ ~ ( SV772 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV736 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4215]) ).

thf(4572,plain,
    ! [SV754: $i > $o] :
      ( ( ( SV754 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV754 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4212]) ).

thf(4573,plain,
    ! [SV754: $i > $o] :
      ( ( ( SV754 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV754 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4211]) ).

thf(4574,plain,
    ! [SV763: $i > $o] :
      ( ( ( SV763 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV763 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4208]) ).

thf(4575,plain,
    ! [SV763: $i > $o] :
      ( ( ( SV763 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV763 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4207]) ).

thf(4576,plain,
    ! [SV792: $i > $o] :
      ( ( ( SV792 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV792 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4242]) ).

thf(4577,plain,
    ! [SV792: $i > $o] :
      ( ( ( SV792 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV792 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4241]) ).

thf(4578,plain,
    ! [SV795: $i > $o] :
      ( ( ( SV795 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV795 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4240]) ).

thf(4579,plain,
    ! [SV795: $i > $o] :
      ( ( ( SV795 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV795 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4239]) ).

thf(4580,plain,
    ! [SV789: $i > $i,SV826: $i > $o] :
      ( ( ( SV826 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ( SV826 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4236]) ).

thf(4581,plain,
    ! [SV789: $i > $i,SV826: $i > $o] :
      ( ( ( SV826 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ( SV826 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4235]) ).

thf(4582,plain,
    ! [SV789: $i > $i,SV829: $i > $o] :
      ( ( ( SV829 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ~ ( SV829 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4234]) ).

thf(4583,plain,
    ! [SV789: $i > $i,SV829: $i > $o] :
      ( ( ( SV829 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ~ ( SV829 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4233]) ).

thf(4584,plain,
    ! [SV806: $i > $o] :
      ( ( ( SV806 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV806 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4230]) ).

thf(4585,plain,
    ! [SV806: $i > $o] :
      ( ( ( SV806 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV806 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4229]) ).

thf(4586,plain,
    ! [SV809: $i > $o] :
      ( ( ( SV809 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV809 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4228]) ).

thf(4587,plain,
    ! [SV809: $i > $o] :
      ( ( ( SV809 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV809 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4227]) ).

thf(4588,plain,
    ! [SV816: $i > $o] :
      ( ( ( SV816 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV816 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4226]) ).

thf(4589,plain,
    ! [SV816: $i > $o] :
      ( ( ( SV816 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV816 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4225]) ).

thf(4590,plain,
    ! [SV819: $i > $o] :
      ( ( ( SV819 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV819 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4224]) ).

thf(4591,plain,
    ! [SV819: $i > $o] :
      ( ( ( SV819 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV819 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4223]) ).

thf(4592,plain,
    ! [SV894: $i > $o] :
      ( ( ( SV894 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV894 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4282]) ).

thf(4593,plain,
    ! [SV894: $i > $o] :
      ( ( ( SV894 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV894 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4281]) ).

thf(4594,plain,
    ! [SV897: $i > $o] :
      ( ( ( SV897 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV897 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4280]) ).

thf(4595,plain,
    ! [SV897: $i > $o] :
      ( ( ( SV897 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV897 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4279]) ).

thf(4596,plain,
    ! [SV891: $i > $i,SV928: $i > $o] :
      ( ( ( SV928 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ( SV928 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4276]) ).

thf(4597,plain,
    ! [SV891: $i > $i,SV928: $i > $o] :
      ( ( ( SV928 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ( SV928 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4275]) ).

thf(4598,plain,
    ! [SV891: $i > $i,SV931: $i > $o] :
      ( ( ( SV931 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ~ ( SV931 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4274]) ).

thf(4599,plain,
    ! [SV891: $i > $i,SV931: $i > $o] :
      ( ( ( SV931 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ~ ( SV931 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4273]) ).

thf(4600,plain,
    ! [SV908: $i > $o] :
      ( ( ( SV908 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV908 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4270]) ).

thf(4601,plain,
    ! [SV908: $i > $o] :
      ( ( ( SV908 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV908 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4269]) ).

thf(4602,plain,
    ! [SV911: $i > $o] :
      ( ( ( SV911 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV911 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4268]) ).

thf(4603,plain,
    ! [SV911: $i > $o] :
      ( ( ( SV911 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV911 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4267]) ).

thf(4604,plain,
    ! [SV918: $i > $o] :
      ( ( ( SV918 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV918 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4266]) ).

thf(4605,plain,
    ! [SV918: $i > $o] :
      ( ( ( SV918 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV918 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4265]) ).

thf(4606,plain,
    ! [SV921: $i > $o] :
      ( ( ( SV921 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV921 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4264]) ).

thf(4607,plain,
    ! [SV921: $i > $o] :
      ( ( ( SV921 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV921 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4263]) ).

thf(4608,plain,
    ! [SV996: $i > $o] :
      ( ( ( SV996 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV996 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4318]) ).

thf(4609,plain,
    ! [SV996: $i > $o] :
      ( ( ( SV996 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV996 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4317]) ).

thf(4610,plain,
    ! [SV993: $i > $i,SV1029: $i > $o] :
      ( ( ( SV1029 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV993 @ SX0 ) )
              @ ~ ( SV1029 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV993 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4314]) ).

thf(4611,plain,
    ! [SV993: $i > $i,SV1029: $i > $o] :
      ( ( ( SV1029 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV993 @ SX0 ) )
              @ ~ ( SV1029 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV993 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4313]) ).

thf(4612,plain,
    ! [SV1011: $i > $o] :
      ( ( ( SV1011 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV1011 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4310]) ).

thf(4613,plain,
    ! [SV1011: $i > $o] :
      ( ( ( SV1011 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV1011 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4309]) ).

thf(4614,plain,
    ! [SV1020: $i > $o] :
      ( ( ( SV1020 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV1020 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4306]) ).

thf(4615,plain,
    ! [SV1020: $i > $o] :
      ( ( ( SV1020 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV1020 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4305]) ).

thf(4616,plain,
    ! [SV248: $i > $o] :
      ( ( ( SV248 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ~ ( SV248 @ SX0 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4018]) ).

thf(4617,plain,
    ! [SV222: $i > $o,SV221: $i > $o] :
      ( ( ( SV221 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV222 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( ( SV221 @ SX0 )
              | ( SV222 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4043]) ).

thf(4619,plain,
    ! [SV1662: $i > $o] :
      ( ( ( SV1662 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
              @ ^ [SX0: $i] :
                  ~ ( SV1662 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( SV1662 @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4488]) ).

thf(4620,plain,
    ! [SV1666: $i > $i > $o,SV1665: $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1665 @ lAnna_THFTYPE_i ) @ ( SV1666 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1665 @ SX0 ) @ ( SV1666 @ SX0 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1665 @ lAnna_THFTYPE_i ) @ ( SV1666 @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4487]) ).

thf(4622,plain,
    ! [SV1671: $i > $i > $i,SV1672: $i > $i > $i,SV1822: $i > $i > $o] :
      ( ( ( SV1822 @ lAnna_THFTYPE_i
          @ ( sK106_E @ SV1672 @ SV1671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671
                    @ ( sK106_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1822 @ SX1 @ SX2 ) )
                    @ SX0 )
                  = ( SV1672
                    @ ( sK106_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1822 @ SX1 @ SX2 ) )
                    @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1822
                    @ ( sK106_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1822 @ SX1 @ SX2 ) )
                    @ SX0 ) ) )
        = $false )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1822 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4485]) ).

thf(4623,plain,
    ! [SV1671: $i > $i > $i,SV1672: $i > $i > $i,SV1822: $i > $i > $o] :
      ( ( ( SV1822 @ lAnna_THFTYPE_i
          @ ( sK106_E @ SV1672 @ SV1671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671
                    @ ( sK106_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1822 @ SX1 @ SX2 ) )
                    @ SX0 )
                  = ( SV1672
                    @ ( sK106_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1822 @ SX1 @ SX2 ) )
                    @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1822
                    @ ( sK106_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1822 @ SX1 @ SX2 ) )
                    @ SX0 ) ) )
        = $true )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1822 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4484]) ).

thf(4624,plain,
    ! [SV1828: $i > $i > $i > $o,SV1827: $i > $i > $i > $o,SV1672: $i > $i > $i,SV1671: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1828 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                @ SX0 )
              = ( SV1672
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI
                @ ( SV1827
                  @ ( sK106_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1828
                  @ ( sK106_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1827 @ lAnna_THFTYPE_i
            @ ( sK106_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) ) ) )
          @ ( SV1828 @ lAnna_THFTYPE_i
            @ ( sK106_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4483]) ).

thf(4625,plain,
    ! [SV1828: $i > $i > $i > $o,SV1827: $i > $i > $i > $o,SV1672: $i > $i > $i,SV1671: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1828 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                @ SX0 )
              = ( SV1672
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI
                @ ( SV1827
                  @ ( sK106_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1828
                  @ ( sK106_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX1 @ SX2 ) @ ( SV1828 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1827 @ lAnna_THFTYPE_i
            @ ( sK106_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) ) ) )
          @ ( SV1828 @ lAnna_THFTYPE_i
            @ ( sK106_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1827 @ SX0 @ SX1 ) @ ( SV1828 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4482]) ).

thf(4626,plain,
    ! [SV1671: $i > $i > $i,SV1672: $i > $i > $i,SV1803: $i > $i > $o] :
      ( ( ( SV1803 @ lAnna_THFTYPE_i
          @ ( sK104_E @ SV1672 @ SV1671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671
                    @ ( sK104_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1803 @ SX1 @ SX2 ) )
                    @ SX0 )
                  = ( SV1672
                    @ ( sK104_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1803 @ SX1 @ SX2 ) )
                    @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1803
                    @ ( sK104_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1803 @ SX1 @ SX2 ) )
                    @ SX0 ) ) )
        = $false )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1803 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4481]) ).

thf(4627,plain,
    ! [SV1671: $i > $i > $i,SV1672: $i > $i > $i,SV1803: $i > $i > $o] :
      ( ( ( SV1803 @ lAnna_THFTYPE_i
          @ ( sK104_E @ SV1672 @ SV1671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671
                    @ ( sK104_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1803 @ SX1 @ SX2 ) )
                    @ SX0 )
                  = ( SV1672
                    @ ( sK104_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1803 @ SX1 @ SX2 ) )
                    @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1803
                    @ ( sK104_E @ SV1672 @ SV1671
                      @ ^ [SX1: $i,SX2: $i] :
                          ~ ( SV1803 @ SX1 @ SX2 ) )
                    @ SX0 ) ) )
        = $true )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1803 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4480]) ).

thf(4628,plain,
    ! [SV1809: $i > $i > $i > $o,SV1808: $i > $i > $i > $o,SV1672: $i > $i > $i,SV1671: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1809 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                @ SX0 )
              = ( SV1672
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI
                @ ( SV1808
                  @ ( sK104_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1809
                  @ ( sK104_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1808 @ lAnna_THFTYPE_i
            @ ( sK104_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) ) ) )
          @ ( SV1809 @ lAnna_THFTYPE_i
            @ ( sK104_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4479]) ).

thf(4629,plain,
    ! [SV1809: $i > $i > $i > $o,SV1808: $i > $i > $i > $o,SV1672: $i > $i > $i,SV1671: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ lAnna_THFTYPE_i @ SX0 ) @ ( SV1809 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                @ SX0 )
              = ( SV1672
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI
                @ ( SV1808
                  @ ( sK104_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV1809
                  @ ( sK104_E @ SV1672 @ SV1671
                    @ ^ [SX1: $i,SX2: $i] :
                        ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX1 @ SX2 ) @ ( SV1809 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ( SV1808 @ lAnna_THFTYPE_i
            @ ( sK104_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) ) ) )
          @ ( SV1809 @ lAnna_THFTYPE_i
            @ ( sK104_E @ SV1672 @ SV1671
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1808 @ SX0 @ SX1 ) @ ( SV1809 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4478]) ).

thf(4630,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4490]) ).

thf(4631,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4491]) ).

thf(4632,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4492]) ).

thf(4633,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4492]) ).

thf(4634,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4493]) ).

thf(4635,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4493]) ).

thf(4636,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4494]) ).

thf(4637,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4495]) ).

thf(4638,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4496]) ).

thf(4639,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4497]) ).

thf(4640,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4497]) ).

thf(4641,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4498]) ).

thf(4642,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4498]) ).

thf(4643,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4499]) ).

thf(4644,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4500]) ).

thf(4645,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4501]) ).

thf(4646,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4502]) ).

thf(4647,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4502]) ).

thf(4648,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4503]) ).

thf(4649,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4503]) ).

thf(4650,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4504]) ).

thf(4651,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4505]) ).

thf(4652,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4506]) ).

thf(4653,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4507]) ).

thf(4654,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4507]) ).

thf(4655,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4508]) ).

thf(4656,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4508]) ).

thf(4657,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4509]) ).

thf(4658,plain,
    ! [SV362: $i > $o,SV358: $i > $i,SV197: $o] :
      ( ( SV197 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ lAnna_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 )
              @ ~ ( SV362 @ SX0 ) ) )
        = $false )
      | ( ( SV362 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4510]) ).

thf(4659,plain,
    ! [SV362: $i > $o,SV358: $i > $i,SV197: $o] :
      ( ( SV197 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ lAnna_THFTYPE_i ) @ SV197 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( SV358 @ SX0 )
              @ ~ ( SV362 @ SX0 ) ) )
        = $false )
      | ( ( SV362 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4511]) ).

thf(4660,plain,
    ! [SV372: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV372 @ SX0 ) ) )
        = $false )
      | ( ( SV372 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4512]) ).

thf(4661,plain,
    ! [SV372: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV372 @ SX0 ) ) )
        = $false )
      | ( ( SV372 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4513]) ).

thf(4662,plain,
    ! [SV405: $i > $o,SV369: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV369 @ SX0 ) )
              @ ~ ( SV405 @ SX0 ) ) )
        = $false )
      | ( ( SV405 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV369 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4514]) ).

thf(4663,plain,
    ! [SV405: $i > $o,SV369: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV369 @ SX0 ) )
              @ ~ ( SV405 @ SX0 ) ) )
        = $false )
      | ( ( SV405 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV369 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4515]) ).

thf(4664,plain,
    ! [SV387: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV387 @ SX0 ) ) )
        = $false )
      | ( ( SV387 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4516]) ).

thf(4665,plain,
    ! [SV387: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV387 @ SX0 ) ) )
        = $false )
      | ( ( SV387 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4517]) ).

thf(4666,plain,
    ! [SV396: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV396 @ SX0 ) ) )
        = $false )
      | ( ( SV396 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4518]) ).

thf(4667,plain,
    ! [SV396: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV396 @ SX0 ) ) )
        = $false )
      | ( ( SV396 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4519]) ).

thf(4668,plain,
    ! [SV425: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV425 @ SX0 ) ) )
        = $false )
      | ( ( SV425 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4520]) ).

thf(4669,plain,
    ! [SV425: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV425 @ SX0 ) ) )
        = $false )
      | ( ( SV425 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4521]) ).

thf(4670,plain,
    ! [SV458: $i > $o,SV422: $i > $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV422 @ SX0 ) )
              @ ~ ( SV458 @ SX0 ) ) )
        = $false )
      | ( ( SV458 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV422 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4522]) ).

thf(4671,plain,
    ! [SV458: $i > $o,SV422: $i > $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV422 @ SX0 ) )
              @ ~ ( SV458 @ SX0 ) ) )
        = $false )
      | ( ( SV458 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV422 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4523]) ).

thf(4672,plain,
    ! [SV440: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV440 @ SX0 ) ) )
        = $false )
      | ( ( SV440 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4524]) ).

thf(4673,plain,
    ! [SV440: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV440 @ SX0 ) ) )
        = $false )
      | ( ( SV440 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4525]) ).

thf(4674,plain,
    ! [SV449: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV449 @ SX0 ) ) )
        = $false )
      | ( ( SV449 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4526]) ).

thf(4675,plain,
    ! [SV449: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV449 @ SX0 ) ) )
        = $false )
      | ( ( SV449 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4527]) ).

thf(4676,plain,
    ! [SV478: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV478 @ SX0 ) ) )
        = $false )
      | ( ( SV478 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4528]) ).

thf(4677,plain,
    ! [SV478: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV478 @ SX0 ) ) )
        = $false )
      | ( ( SV478 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4529]) ).

thf(4678,plain,
    ! [SV511: $i > $o,SV475: $i > $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV475 @ SX0 ) )
              @ ~ ( SV511 @ SX0 ) ) )
        = $false )
      | ( ( SV511 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV475 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4530]) ).

thf(4679,plain,
    ! [SV511: $i > $o,SV475: $i > $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV475 @ SX0 ) )
              @ ~ ( SV511 @ SX0 ) ) )
        = $false )
      | ( ( SV511 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV475 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4531]) ).

thf(4680,plain,
    ! [SV493: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV493 @ SX0 ) ) )
        = $false )
      | ( ( SV493 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4532]) ).

thf(4681,plain,
    ! [SV493: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV493 @ SX0 ) ) )
        = $false )
      | ( ( SV493 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4533]) ).

thf(4682,plain,
    ! [SV502: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV502 @ SX0 ) ) )
        = $false )
      | ( ( SV502 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4534]) ).

thf(4683,plain,
    ! [SV502: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV502 @ SX0 ) ) )
        = $false )
      | ( ( SV502 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4535]) ).

thf(4684,plain,
    ! [SV531: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV531 @ SX0 ) ) )
        = $false )
      | ( ( SV531 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4536]) ).

thf(4685,plain,
    ! [SV531: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV531 @ SX0 ) ) )
        = $false )
      | ( ( SV531 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4537]) ).

thf(4686,plain,
    ! [SV564: $i > $o,SV528: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV528 @ SX0 ) )
              @ ~ ( SV564 @ SX0 ) ) )
        = $false )
      | ( ( SV564 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV528 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4538]) ).

thf(4687,plain,
    ! [SV564: $i > $o,SV528: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV528 @ SX0 ) )
              @ ~ ( SV564 @ SX0 ) ) )
        = $false )
      | ( ( SV564 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV528 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4539]) ).

thf(4688,plain,
    ! [SV546: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV546 @ SX0 ) ) )
        = $false )
      | ( ( SV546 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4540]) ).

thf(4689,plain,
    ! [SV546: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV546 @ SX0 ) ) )
        = $false )
      | ( ( SV546 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4541]) ).

thf(4690,plain,
    ! [SV555: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV555 @ SX0 ) ) )
        = $false )
      | ( ( SV555 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4542]) ).

thf(4691,plain,
    ! [SV555: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV555 @ SX0 ) ) )
        = $false )
      | ( ( SV555 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4543]) ).

thf(4692,plain,
    ! [SV584: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV584 @ SX0 ) ) )
        = $false )
      | ( ( SV584 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4544]) ).

thf(4693,plain,
    ! [SV584: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV584 @ SX0 ) ) )
        = $false )
      | ( ( SV584 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4545]) ).

thf(4694,plain,
    ! [SV617: $i > $o,SV581: $i > $i] :
      ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV581 @ SX0 ) )
              @ ~ ( SV617 @ SX0 ) ) )
        = $false )
      | ( ( SV617 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV581 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4546]) ).

thf(4695,plain,
    ! [SV617: $i > $o,SV581: $i > $i] :
      ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV581 @ SX0 ) )
              @ ~ ( SV617 @ SX0 ) ) )
        = $false )
      | ( ( SV617 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV581 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4547]) ).

thf(4696,plain,
    ! [SV599: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV599 @ SX0 ) ) )
        = $false )
      | ( ( SV599 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4548]) ).

thf(4697,plain,
    ! [SV599: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV599 @ SX0 ) ) )
        = $false )
      | ( ( SV599 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4549]) ).

thf(4698,plain,
    ! [SV608: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV608 @ SX0 ) ) )
        = $false )
      | ( ( SV608 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4550]) ).

thf(4699,plain,
    ! [SV608: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV608 @ SX0 ) ) )
        = $false )
      | ( ( SV608 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4551]) ).

thf(4700,plain,
    ! [SV637: $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV637 @ SX0 ) ) )
        = $false )
      | ( ( SV637 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4552]) ).

thf(4701,plain,
    ! [SV637: $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV637 @ SX0 ) ) )
        = $false )
      | ( ( SV637 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4553]) ).

thf(4702,plain,
    ! [SV640: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV640 @ SX0 ) ) )
        = $false )
      | ( ( SV640 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4554]) ).

thf(4703,plain,
    ! [SV640: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV640 @ SX0 ) ) )
        = $false )
      | ( ( SV640 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4555]) ).

thf(4704,plain,
    ! [SV671: $i > $o,SV634: $i > $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ( SV671 @ SX0 ) ) )
        = $false )
      | ( ( SV671 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4556]) ).

thf(4705,plain,
    ! [SV671: $i > $o,SV634: $i > $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ( SV671 @ SX0 ) ) )
        = $false )
      | ( ( SV671 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4557]) ).

thf(4706,plain,
    ! [SV674: $i > $o,SV634: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ~ ( SV674 @ SX0 ) ) )
        = $false )
      | ( ( SV674 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4558]) ).

thf(4707,plain,
    ! [SV674: $i > $o,SV634: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ~ ( SV674 @ SX0 ) ) )
        = $false )
      | ( ( SV674 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4559]) ).

thf(4708,plain,
    ! [SV651: $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV651 @ SX0 ) ) )
        = $false )
      | ( ( SV651 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4560]) ).

thf(4709,plain,
    ! [SV651: $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV651 @ SX0 ) ) )
        = $false )
      | ( ( SV651 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4561]) ).

thf(4710,plain,
    ! [SV654: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV654 @ SX0 ) ) )
        = $false )
      | ( ( SV654 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4562]) ).

thf(4711,plain,
    ! [SV654: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV654 @ SX0 ) ) )
        = $false )
      | ( ( SV654 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4563]) ).

thf(4712,plain,
    ! [SV661: $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV661 @ SX0 ) ) )
        = $false )
      | ( ( SV661 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4564]) ).

thf(4713,plain,
    ! [SV661: $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV661 @ SX0 ) ) )
        = $false )
      | ( ( SV661 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4565]) ).

thf(4714,plain,
    ! [SV664: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV664 @ SX0 ) ) )
        = $false )
      | ( ( SV664 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4566]) ).

thf(4715,plain,
    ! [SV664: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV664 @ SX0 ) ) )
        = $false )
      | ( ( SV664 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4567]) ).

thf(4716,plain,
    ! [SV739: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV739 @ SX0 ) ) )
        = $false )
      | ( ( SV739 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4568]) ).

thf(4717,plain,
    ! [SV739: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV739 @ SX0 ) ) )
        = $false )
      | ( ( SV739 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4569]) ).

thf(4718,plain,
    ! [SV772: $i > $o,SV736: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV736 @ SX0 ) )
              @ ~ ( SV772 @ SX0 ) ) )
        = $false )
      | ( ( SV772 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV736 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4570]) ).

thf(4719,plain,
    ! [SV772: $i > $o,SV736: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV736 @ SX0 ) )
              @ ~ ( SV772 @ SX0 ) ) )
        = $false )
      | ( ( SV772 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV736 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4571]) ).

thf(4720,plain,
    ! [SV754: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV754 @ SX0 ) ) )
        = $false )
      | ( ( SV754 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4572]) ).

thf(4721,plain,
    ! [SV754: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV754 @ SX0 ) ) )
        = $false )
      | ( ( SV754 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4573]) ).

thf(4722,plain,
    ! [SV763: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV763 @ SX0 ) ) )
        = $false )
      | ( ( SV763 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4574]) ).

thf(4723,plain,
    ! [SV763: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV763 @ SX0 ) ) )
        = $false )
      | ( ( SV763 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4575]) ).

thf(4724,plain,
    ! [SV792: $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV792 @ SX0 ) ) )
        = $false )
      | ( ( SV792 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4576]) ).

thf(4725,plain,
    ! [SV792: $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV792 @ SX0 ) ) )
        = $false )
      | ( ( SV792 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4577]) ).

thf(4726,plain,
    ! [SV795: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV795 @ SX0 ) ) )
        = $false )
      | ( ( SV795 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4578]) ).

thf(4727,plain,
    ! [SV795: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV795 @ SX0 ) ) )
        = $false )
      | ( ( SV795 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4579]) ).

thf(4728,plain,
    ! [SV826: $i > $o,SV789: $i > $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ( SV826 @ SX0 ) ) )
        = $false )
      | ( ( SV826 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4580]) ).

thf(4729,plain,
    ! [SV826: $i > $o,SV789: $i > $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ( SV826 @ SX0 ) ) )
        = $false )
      | ( ( SV826 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4581]) ).

thf(4730,plain,
    ! [SV829: $i > $o,SV789: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ~ ( SV829 @ SX0 ) ) )
        = $false )
      | ( ( SV829 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4582]) ).

thf(4731,plain,
    ! [SV829: $i > $o,SV789: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ~ ( SV829 @ SX0 ) ) )
        = $false )
      | ( ( SV829 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4583]) ).

thf(4732,plain,
    ! [SV806: $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV806 @ SX0 ) ) )
        = $false )
      | ( ( SV806 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4584]) ).

thf(4733,plain,
    ! [SV806: $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV806 @ SX0 ) ) )
        = $false )
      | ( ( SV806 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4585]) ).

thf(4734,plain,
    ! [SV809: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV809 @ SX0 ) ) )
        = $false )
      | ( ( SV809 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4586]) ).

thf(4735,plain,
    ! [SV809: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV809 @ SX0 ) ) )
        = $false )
      | ( ( SV809 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4587]) ).

thf(4736,plain,
    ! [SV816: $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV816 @ SX0 ) ) )
        = $false )
      | ( ( SV816 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4588]) ).

thf(4737,plain,
    ! [SV816: $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV816 @ SX0 ) ) )
        = $false )
      | ( ( SV816 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4589]) ).

thf(4738,plain,
    ! [SV819: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV819 @ SX0 ) ) )
        = $false )
      | ( ( SV819 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4590]) ).

thf(4739,plain,
    ! [SV819: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV819 @ SX0 ) ) )
        = $false )
      | ( ( SV819 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4591]) ).

thf(4740,plain,
    ! [SV894: $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV894 @ SX0 ) ) )
        = $false )
      | ( ( SV894 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4592]) ).

thf(4741,plain,
    ! [SV894: $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV894 @ SX0 ) ) )
        = $false )
      | ( ( SV894 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4593]) ).

thf(4742,plain,
    ! [SV897: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV897 @ SX0 ) ) )
        = $false )
      | ( ( SV897 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4594]) ).

thf(4743,plain,
    ! [SV897: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ~ ( SV897 @ SX0 ) ) )
        = $false )
      | ( ( SV897 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4595]) ).

thf(4744,plain,
    ! [SV928: $i > $o,SV891: $i > $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ( SV928 @ SX0 ) ) )
        = $false )
      | ( ( SV928 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4596]) ).

thf(4745,plain,
    ! [SV928: $i > $o,SV891: $i > $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ( SV928 @ SX0 ) ) )
        = $false )
      | ( ( SV928 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4597]) ).

thf(4746,plain,
    ! [SV931: $i > $o,SV891: $i > $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ~ ( SV931 @ SX0 ) ) )
        = $false )
      | ( ( SV931 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4598]) ).

thf(4747,plain,
    ! [SV931: $i > $o,SV891: $i > $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ~ ( SV931 @ SX0 ) ) )
        = $false )
      | ( ( SV931 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4599]) ).

thf(4748,plain,
    ! [SV908: $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV908 @ SX0 ) ) )
        = $false )
      | ( ( SV908 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4600]) ).

thf(4749,plain,
    ! [SV908: $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV908 @ SX0 ) ) )
        = $false )
      | ( ( SV908 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4601]) ).

thf(4750,plain,
    ! [SV911: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV911 @ SX0 ) ) )
        = $false )
      | ( ( SV911 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4602]) ).

thf(4751,plain,
    ! [SV911: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ~ ( SV911 @ SX0 ) ) )
        = $false )
      | ( ( SV911 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4603]) ).

thf(4752,plain,
    ! [SV918: $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV918 @ SX0 ) ) )
        = $false )
      | ( ( SV918 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4604]) ).

thf(4753,plain,
    ! [SV918: $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV918 @ SX0 ) ) )
        = $false )
      | ( ( SV918 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4605]) ).

thf(4754,plain,
    ! [SV921: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV921 @ SX0 ) ) )
        = $false )
      | ( ( SV921 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4606]) ).

thf(4755,plain,
    ! [SV921: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ~ ( SV921 @ SX0 ) ) )
        = $false )
      | ( ( SV921 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4607]) ).

thf(4756,plain,
    ! [SV996: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV996 @ SX0 ) ) )
        = $false )
      | ( ( SV996 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4608]) ).

thf(4757,plain,
    ! [SV996: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV996 @ SX0 ) ) )
        = $false )
      | ( ( SV996 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4609]) ).

thf(4758,plain,
    ! [SV1029: $i > $o,SV993: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV993 @ SX0 ) )
              @ ~ ( SV1029 @ SX0 ) ) )
        = $false )
      | ( ( SV1029 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV993 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4610]) ).

thf(4759,plain,
    ! [SV1029: $i > $o,SV993: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV993 @ SX0 ) )
              @ ~ ( SV1029 @ SX0 ) ) )
        = $false )
      | ( ( SV1029 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV993 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4611]) ).

thf(4760,plain,
    ! [SV1011: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV1011 @ SX0 ) ) )
        = $false )
      | ( ( SV1011 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4612]) ).

thf(4761,plain,
    ! [SV1011: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV1011 @ SX0 ) ) )
        = $false )
      | ( ( SV1011 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4613]) ).

thf(4762,plain,
    ! [SV1020: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV1020 @ SX0 ) ) )
        = $false )
      | ( ( SV1020 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4614]) ).

thf(4763,plain,
    ! [SV1020: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV1020 @ SX0 ) ) )
        = $false )
      | ( ( SV1020 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4615]) ).

thf(4765,plain,
    ! [SV1662: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ~ ( SV1662 @ SX0 ) )
        = $false )
      | ( ( SV1662 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV1662 @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4619]) ).

thf(4766,plain,
    ! [SV1822: $i > $i > $o,SV1672: $i > $i > $i,SV1671: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1822 @ SX1 @ SX2 ) )
                @ SX0 )
              = ( SV1672
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1822 @ SX1 @ SX2 ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( SV1822
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1822 @ SX1 @ SX2 ) )
                @ SX0 ) )
        = $true )
      | ( ( SV1822 @ lAnna_THFTYPE_i
          @ ( sK106_E @ SV1672 @ SV1671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1822 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4622]) ).

thf(4767,plain,
    ! [SV1822: $i > $i > $o,SV1672: $i > $i > $i,SV1671: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1822 @ SX1 @ SX2 ) )
                @ SX0 )
              = ( SV1672
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1822 @ SX1 @ SX2 ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( SV1822
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1822 @ SX1 @ SX2 ) )
                @ SX0 ) )
        = $false )
      | ( ( SV1822 @ lAnna_THFTYPE_i
          @ ( sK106_E @ SV1672 @ SV1671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1822 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4623]) ).

thf(4768,plain,
    ! [SV1803: $i > $i > $o,SV1672: $i > $i > $i,SV1671: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1803 @ SX1 @ SX2 ) )
                @ SX0 )
              = ( SV1672
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1803 @ SX1 @ SX2 ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( SV1803
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1803 @ SX1 @ SX2 ) )
                @ SX0 ) )
        = $true )
      | ( ( SV1803 @ lAnna_THFTYPE_i
          @ ( sK104_E @ SV1672 @ SV1671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1803 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4626]) ).

thf(4769,plain,
    ! [SV1803: $i > $i > $o,SV1672: $i > $i > $i,SV1671: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1803 @ SX1 @ SX2 ) )
                @ SX0 )
              = ( SV1672
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1803 @ SX1 @ SX2 ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( SV1803
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1803 @ SX1 @ SX2 ) )
                @ SX0 ) )
        = $false )
      | ( ( SV1803 @ lAnna_THFTYPE_i
          @ ( sK104_E @ SV1672 @ SV1671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI
              @ ^ [SX0: $i] :
                  ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
                  = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
              @ ^ [SX0: $i] :
                  ~ ( SV1803 @ lAnna_THFTYPE_i @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4627]) ).

thf(4770,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4630]) ).

thf(4771,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4631]) ).

thf(4772,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4631]) ).

thf(4773,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4632]) ).

thf(4774,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4633]) ).

thf(4775,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4634]) ).

thf(4776,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4635]) ).

thf(4777,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4636]) ).

thf(4778,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4637]) ).

thf(4779,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4638]) ).

thf(4780,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4638]) ).

thf(4781,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4639]) ).

thf(4782,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4640]) ).

thf(4783,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4641]) ).

thf(4784,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4642]) ).

thf(4785,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4643]) ).

thf(4786,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4644]) ).

thf(4787,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4645]) ).

thf(4788,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4645]) ).

thf(4789,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4646]) ).

thf(4790,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4647]) ).

thf(4791,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4648]) ).

thf(4792,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4649]) ).

thf(4793,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4650]) ).

thf(4794,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4651]) ).

thf(4795,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
                | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4652]) ).

thf(4796,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 != SV114 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4652]) ).

thf(4797,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4653]) ).

thf(4798,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4654]) ).

thf(4799,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4655]) ).

thf(4800,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4656]) ).

thf(4801,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4657]) ).

thf(4802,plain,
    ! [SV637: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV637 @ SX0 ) ) )
        = $false )
      | ( ( SV637 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4700]) ).

thf(4803,plain,
    ! [SV637: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV637 @ SX0 ) ) )
        = $false )
      | ( ( SV637 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4701]) ).

thf(4804,plain,
    ! [SV671: $i > $o,SV634: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ( SV671 @ SX0 ) ) )
        = $false )
      | ( ( SV671 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4704]) ).

thf(4805,plain,
    ! [SV671: $i > $o,SV634: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV634 @ SX0 ) )
              @ ~ ( SV671 @ SX0 ) ) )
        = $false )
      | ( ( SV671 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV634 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4705]) ).

thf(4806,plain,
    ! [SV651: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV651 @ SX0 ) ) )
        = $false )
      | ( ( SV651 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4708]) ).

thf(4807,plain,
    ! [SV651: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV651 @ SX0 ) ) )
        = $false )
      | ( ( SV651 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4709]) ).

thf(4808,plain,
    ! [SV661: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV661 @ SX0 ) ) )
        = $false )
      | ( ( SV661 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4712]) ).

thf(4809,plain,
    ! [SV661: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV661 @ SX0 ) ) )
        = $false )
      | ( ( SV661 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4713]) ).

thf(4810,plain,
    ! [SV792: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV792 @ SX0 ) ) )
        = $false )
      | ( ( SV792 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4724]) ).

thf(4811,plain,
    ! [SV792: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV792 @ SX0 ) ) )
        = $false )
      | ( ( SV792 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4725]) ).

thf(4812,plain,
    ! [SV826: $i > $o,SV789: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ( SV826 @ SX0 ) ) )
        = $false )
      | ( ( SV826 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4728]) ).

thf(4813,plain,
    ! [SV826: $i > $o,SV789: $i > $i] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV789 @ SX0 ) )
              @ ~ ( SV826 @ SX0 ) ) )
        = $false )
      | ( ( SV826 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV789 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4729]) ).

thf(4814,plain,
    ! [SV806: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV806 @ SX0 ) ) )
        = $false )
      | ( ( SV806 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4732]) ).

thf(4815,plain,
    ! [SV806: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV806 @ SX0 ) ) )
        = $false )
      | ( ( SV806 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4733]) ).

thf(4816,plain,
    ! [SV816: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV816 @ SX0 ) ) )
        = $false )
      | ( ( SV816 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4736]) ).

thf(4817,plain,
    ! [SV816: $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV816 @ SX0 ) ) )
        = $false )
      | ( ( SV816 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4737]) ).

thf(4818,plain,
    ! [SV894: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV894 @ SX0 ) ) )
        = $false )
      | ( ( SV894 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4740]) ).

thf(4819,plain,
    ! [SV894: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV894 @ SX0 ) ) )
        = $false )
      | ( ( SV894 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4741]) ).

thf(4820,plain,
    ! [SV928: $i > $o,SV891: $i > $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ( SV928 @ SX0 ) ) )
        = $false )
      | ( ( SV928 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4744]) ).

thf(4821,plain,
    ! [SV928: $i > $o,SV891: $i > $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV891 @ SX0 ) )
              @ ~ ( SV928 @ SX0 ) ) )
        = $false )
      | ( ( SV928 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV891 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4745]) ).

thf(4822,plain,
    ! [SV908: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV908 @ SX0 ) ) )
        = $false )
      | ( ( SV908 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4748]) ).

thf(4823,plain,
    ! [SV908: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV908 @ SX0 ) ) )
        = $false )
      | ( ( SV908 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4749]) ).

thf(4824,plain,
    ! [SV918: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV918 @ SX0 ) ) )
        = $false )
      | ( ( SV918 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4752]) ).

thf(4825,plain,
    ! [SV918: $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV918 @ SX0 ) ) )
        = $false )
      | ( ( SV918 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4753]) ).

thf(4827,plain,
    ! [SV1662: $i > $o] :
      ( ( ( SV1662 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV1662 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ~ ( SV1662 @ SX0 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4765]) ).

thf(4828,plain,
    ! [SV1822: $i > $i > $o,SV1672: $i > $i > $i,SV1671: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( SV1822 @ lAnna_THFTYPE_i @ SX0 ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( SV1822 @ lAnna_THFTYPE_i
          @ ( sK106_E @ SV1672 @ SV1671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1822 @ SX1 @ SX2 ) )
                @ SX0 )
              = ( SV1672
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1822 @ SX1 @ SX2 ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( SV1822
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1822 @ SX1 @ SX2 ) )
                @ SX0 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4766]) ).

thf(4829,plain,
    ! [SV1822: $i > $i > $o,SV1672: $i > $i > $i,SV1671: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( SV1822 @ lAnna_THFTYPE_i @ SX0 ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1822 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( SV1822 @ lAnna_THFTYPE_i
          @ ( sK106_E @ SV1672 @ SV1671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1822 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1822 @ SX1 @ SX2 ) )
                @ SX0 )
              = ( SV1672
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1822 @ SX1 @ SX2 ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( SV1822
                @ ( sK106_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1822 @ SX1 @ SX2 ) )
                @ SX0 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4767]) ).

thf(4830,plain,
    ! [SV1803: $i > $i > $o,SV1672: $i > $i > $i,SV1671: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( SV1803 @ lAnna_THFTYPE_i @ SX0 ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( SV1803 @ lAnna_THFTYPE_i
          @ ( sK104_E @ SV1672 @ SV1671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1803 @ SX1 @ SX2 ) )
                @ SX0 )
              = ( SV1672
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1803 @ SX1 @ SX2 ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( SV1803
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1803 @ SX1 @ SX2 ) )
                @ SX0 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4768]) ).

thf(4831,plain,
    ! [SV1803: $i > $i > $o,SV1672: $i > $i > $i,SV1671: $i > $i > $i] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671 @ lAnna_THFTYPE_i @ SX0 )
              = ( SV1672 @ lAnna_THFTYPE_i @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( SV1803 @ lAnna_THFTYPE_i @ SX0 ) )
        = $false )
      | ( ( ( sK85_E
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 )
            @ ^ [SX0: $i,SX1: $i] :
                ( ( SV1671 @ SX0 @ SX1 )
                = ( SV1672 @ SX0 @ SX1 ) ) )
          = lAnna_THFTYPE_i )
        = $true )
      | ( ( ( SV1671 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) )
          = ( SV1672 @ lAnna_THFTYPE_i
            @ ( sK85_E
              @ ^ [SX0: $i,SX1: $i] :
                  ~ ( SV1803 @ SX0 @ SX1 )
              @ ^ [SX0: $i,SX1: $i] :
                  ( ( SV1671 @ SX0 @ SX1 )
                  = ( SV1672 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( SV1803 @ lAnna_THFTYPE_i
          @ ( sK104_E @ SV1672 @ SV1671
            @ ^ [SX0: $i,SX1: $i] :
                ~ ( SV1803 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] :
              ( ( SV1671
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1803 @ SX1 @ SX2 ) )
                @ SX0 )
              = ( SV1672
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1803 @ SX1 @ SX2 ) )
                @ SX0 ) )
          @ ^ [SX0: $i] :
              ~ ( SV1803
                @ ( sK104_E @ SV1672 @ SV1671
                  @ ^ [SX1: $i,SX2: $i] :
                      ~ ( SV1803 @ SX1 @ SX2 ) )
                @ SX0 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4769]) ).

thf(4832,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4770]) ).

thf(4833,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4771]) ).

thf(4834,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4772]) ).

thf(4835,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4773]) ).

thf(4836,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4774]) ).

thf(4837,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4775]) ).

thf(4838,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4776]) ).

thf(4839,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4777]) ).

thf(4840,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4778]) ).

thf(4841,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4779]) ).

thf(4842,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4780]) ).

thf(4843,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4781]) ).

thf(4844,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4782]) ).

thf(4845,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4783]) ).

thf(4846,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4784]) ).

thf(4847,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4785]) ).

thf(4848,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4786]) ).

thf(4849,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4787]) ).

thf(4850,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4788]) ).

thf(4851,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4789]) ).

thf(4852,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4790]) ).

thf(4853,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4791]) ).

thf(4854,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4792]) ).

thf(4855,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4793]) ).

thf(4856,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4794]) ).

thf(4857,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
              | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4795]) ).

thf(4858,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4796]) ).

thf(4859,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4797]) ).

thf(4860,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4798]) ).

thf(4861,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4799]) ).

thf(4862,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4800]) ).

thf(4863,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4801]) ).

thf(4864,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4832]) ).

thf(4865,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4833]) ).

thf(4866,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4834]) ).

thf(4867,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4835]) ).

thf(4868,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4835]) ).

thf(4869,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1837: $i] :
              ( ( SV116 @ SV1837 )
              = ( SV114 @ SV1837 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4836]) ).

thf(4870,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4836]) ).

thf(4871,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4837]) ).

thf(4872,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4837]) ).

thf(4873,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1838: $i] :
              ( ( SV116 @ SV1838 )
              = ( SV114 @ SV1838 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4838]) ).

thf(4874,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4838]) ).

thf(4875,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4839]) ).

thf(4876,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4840]) ).

thf(4877,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4841]) ).

thf(4878,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4842]) ).

thf(4879,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4843]) ).

thf(4880,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4843]) ).

thf(4881,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1839: $i] :
              ( ( SV116 @ SV1839 )
              = ( SV114 @ SV1839 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4844]) ).

thf(4882,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4844]) ).

thf(4883,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4845]) ).

thf(4884,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4845]) ).

thf(4885,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1840: $i] :
              ( ( SV116 @ SV1840 )
              = ( SV114 @ SV1840 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4846]) ).

thf(4886,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4846]) ).

thf(4887,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4847]) ).

thf(4888,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4848]) ).

thf(4889,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4849]) ).

thf(4890,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4850]) ).

thf(4891,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4851]) ).

thf(4892,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4851]) ).

thf(4893,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1841: $i] :
              ( ( SV116 @ SV1841 )
              = ( SV114 @ SV1841 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4852]) ).

thf(4894,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4852]) ).

thf(4895,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4853]) ).

thf(4896,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4853]) ).

thf(4897,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1842: $i] :
              ( ( SV116 @ SV1842 )
              = ( SV114 @ SV1842 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4854]) ).

thf(4898,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4854]) ).

thf(4899,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4855]) ).

thf(4900,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4856]) ).

thf(4901,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i )
          | ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4857]) ).

thf(4902,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4858]) ).

thf(4903,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4859]) ).

thf(4904,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4859]) ).

thf(4905,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1843: $i] :
              ( ( SV116 @ SV1843 )
              = ( SV114 @ SV1843 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4860]) ).

thf(4906,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4860]) ).

thf(4907,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4861]) ).

thf(4908,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4861]) ).

thf(4909,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1844: $i] :
              ( ( SV116 @ SV1844 )
              = ( SV114 @ SV1844 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4862]) ).

thf(4910,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4862]) ).

thf(4911,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4863]) ).

thf(4912,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4864]) ).

thf(4913,plain,
    ! [SV260: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4865]) ).

thf(4914,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4865]) ).

thf(4915,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1845: $i] :
              ( ( SV116 @ SV1845 )
              = ( SV114 @ SV1845 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4866]) ).

thf(4916,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4866]) ).

thf(4917,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4867]) ).

thf(4918,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4868]) ).

thf(4919,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4869]) ).

thf(4920,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4871]) ).

thf(4921,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4872]) ).

thf(4922,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4873]) ).

thf(4923,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4875]) ).

thf(4924,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4876]) ).

thf(4925,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4877]) ).

thf(4926,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4877]) ).

thf(4927,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1846: $i] :
              ( ( SV116 @ SV1846 )
              = ( SV114 @ SV1846 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4878]) ).

thf(4928,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4878]) ).

thf(4929,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4879]) ).

thf(4930,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4880]) ).

thf(4931,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4881]) ).

thf(4932,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4883]) ).

thf(4933,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4884]) ).

thf(4934,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4885]) ).

thf(4935,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4887]) ).

thf(4936,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4888]) ).

thf(4937,plain,
    ! [SV293: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4889]) ).

thf(4938,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4889]) ).

thf(4939,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1847: $i] :
              ( ( SV116 @ SV1847 )
              = ( SV114 @ SV1847 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4890]) ).

thf(4940,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4890]) ).

thf(4941,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4891]) ).

thf(4942,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4892]) ).

thf(4943,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4893]) ).

thf(4944,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4895]) ).

thf(4945,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4896]) ).

thf(4946,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4897]) ).

thf(4947,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4899]) ).

thf(4948,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[4900]) ).

thf(4949,plain,
    ! [SV306: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV115 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4901]) ).

thf(4950,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[4901]) ).

thf(4951,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1848: $i] :
              ( ( SV116 @ SV1848 )
              = ( SV114 @ SV1848 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4902]) ).

thf(4952,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4902]) ).

thf(4953,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4903]) ).

thf(4954,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4904]) ).

thf(4955,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4905]) ).

thf(4956,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4907]) ).

thf(4957,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4908]) ).

thf(4958,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4909]) ).

thf(4959,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4911]) ).

thf(4960,plain,
    ! [SV260: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4912]) ).

thf(4961,plain,
    ! [SV260: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4913]) ).

thf(4962,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4914]) ).

thf(4963,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4915]) ).

thf(4964,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1849: $i] :
              ( ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ SV1849 )
              = ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ SV1849 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4919]) ).

thf(4965,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4919]) ).

thf(4966,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1850: $i] :
              ( ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ SV1850 )
              = ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ SV1850 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4922]) ).

thf(4967,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4922]) ).

thf(4968,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4923]) ).

thf(4969,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4924]) ).

thf(4970,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4925]) ).

thf(4971,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4926]) ).

thf(4972,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4927]) ).

thf(4973,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1851: $i] :
              ( ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ SV1851 )
              = ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ SV1851 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4931]) ).

thf(4974,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4931]) ).

thf(4975,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1852: $i] :
              ( ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ SV1852 )
              = ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ SV1852 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4934]) ).

thf(4976,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4934]) ).

thf(4977,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4935]) ).

thf(4978,plain,
    ! [SV293: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4936]) ).

thf(4979,plain,
    ! [SV293: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4937]) ).

thf(4980,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4938]) ).

thf(4981,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4939]) ).

thf(4982,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1853: $i] :
              ( ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ SV1853 )
              = ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ SV1853 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4943]) ).

thf(4983,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4943]) ).

thf(4984,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1854: $i] :
              ( ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ SV1854 )
              = ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ SV1854 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4946]) ).

thf(4985,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4946]) ).

thf(4986,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4947]) ).

thf(4987,plain,
    ! [SV306: $i > $o,SV114: $i > $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV114 @ SV115 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4948]) ).

thf(4988,plain,
    ! [SV306: $i > $o,SV115: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4949]) ).

thf(4989,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[4950]) ).

thf(4990,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4951]) ).

thf(4991,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1855: $i] :
              ( ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ SV1855 )
              = ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ SV1855 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4955]) ).

thf(4992,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4955]) ).

thf(4993,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1856: $i] :
              ( ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ SV1856 )
              = ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ SV1856 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4958]) ).

thf(4994,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4958]) ).

thf(4995,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4959]) ).

thf(4996,plain,
    ! [SV260: $i > $o,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4960]) ).

thf(4997,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1857: $i] :
              ( ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ SV1857 )
              = ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ SV1857 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4963]) ).

thf(4998,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4963]) ).

thf(4999,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
          = ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4964]) ).

thf(5000,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
          = ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4966]) ).

thf(5001,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4968]) ).

thf(5002,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4969]) ).

thf(5003,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1858: $i] :
              ( ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ SV1858 )
              = ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ SV1858 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4972]) ).

thf(5004,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4972]) ).

thf(5005,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
          = ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4973]) ).

thf(5006,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
          = ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4975]) ).

thf(5007,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4977]) ).

thf(5008,plain,
    ! [SV293: $i > $o,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4978]) ).

thf(5009,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1859: $i] :
              ( ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ SV1859 )
              = ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ SV1859 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4981]) ).

thf(5010,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4981]) ).

thf(5011,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
          = ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4982]) ).

thf(5012,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
          = ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4984]) ).

thf(5013,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4986]) ).

thf(5014,plain,
    ! [SV306: $i > $o,SV116: $i > $i > $o,SV115: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV116 != SV114 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4987]) ).

thf(5015,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1860: $i] :
              ( ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ SV1860 )
              = ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ SV1860 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4990]) ).

thf(5016,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) )
          = ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4990]) ).

thf(5017,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
          = ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4991]) ).

thf(5018,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
          = ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4993]) ).

thf(5019,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4995]) ).

thf(5020,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[4996]) ).

thf(5021,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
          = ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[4997]) ).

thf(5022,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
              | ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
              | ~ ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4999]) ).

thf(5023,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
          = ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[4999]) ).

thf(5024,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
              | ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
              | ~ ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5000]) ).

thf(5025,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
          = ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5000]) ).

thf(5026,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5001]) ).

thf(5027,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5002]) ).

thf(5028,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
          = ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5003]) ).

thf(5029,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
              | ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
              | ~ ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5005]) ).

thf(5030,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
          = ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5005]) ).

thf(5031,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
              | ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
              | ~ ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5006]) ).

thf(5032,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
          = ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5006]) ).

thf(5033,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5007]) ).

thf(5034,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5008]) ).

thf(5035,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
          = ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5009]) ).

thf(5036,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
              | ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
              | ~ ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5011]) ).

thf(5037,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
          = ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5011]) ).

thf(5038,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
              | ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
              | ~ ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5012]) ).

thf(5039,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
          = ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5012]) ).

thf(5040,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5013]) ).

thf(5041,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 != SV114 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5014]) ).

thf(5042,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
          = ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[5015]) ).

thf(5043,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
              | ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
              | ~ ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5017]) ).

thf(5044,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
          = ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5017]) ).

thf(5045,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
              | ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
              | ~ ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5018]) ).

thf(5046,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
          = ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5018]) ).

thf(5047,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5019]) ).

thf(5048,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5020]) ).

thf(5049,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
              | ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
              | ~ ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5021]) ).

thf(5050,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
          = ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5021]) ).

thf(5051,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
              | ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5022]) ).

thf(5052,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
              | ~ ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5022]) ).

thf(5053,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
              | ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5024]) ).

thf(5054,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
              | ~ ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5024]) ).

thf(5055,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1861: $i] :
              ( ( SV116 @ SV1861 )
              = ( SV114 @ SV1861 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5026]) ).

thf(5056,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5026]) ).

thf(5057,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5027]) ).

thf(5058,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
              | ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
              | ~ ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5028]) ).

thf(5059,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
          = ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5028]) ).

thf(5060,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
              | ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5029]) ).

thf(5061,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
              | ~ ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5029]) ).

thf(5062,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
              | ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5031]) ).

thf(5063,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
              | ~ ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5031]) ).

thf(5064,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1862: $i] :
              ( ( SV116 @ SV1862 )
              = ( SV114 @ SV1862 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5033]) ).

thf(5065,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5033]) ).

thf(5066,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5034]) ).

thf(5067,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
              | ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
              | ~ ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5035]) ).

thf(5068,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
          = ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5035]) ).

thf(5069,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
              | ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5036]) ).

thf(5070,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
              | ~ ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5036]) ).

thf(5071,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
              | ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5038]) ).

thf(5072,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
              | ~ ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5038]) ).

thf(5073,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1863: $i] :
              ( ( SV116 @ SV1863 )
              = ( SV114 @ SV1863 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5040]) ).

thf(5074,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5040]) ).

thf(5075,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5041]) ).

thf(5076,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
              | ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) ) )
          | ~ ( ~ ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
              | ~ ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5042]) ).

thf(5077,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
          = ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[5042]) ).

thf(5078,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
              | ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5043]) ).

thf(5079,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
              | ~ ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5043]) ).

thf(5080,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
              | ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5045]) ).

thf(5081,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
              | ~ ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5045]) ).

thf(5082,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1864: $i] :
              ( ( SV116 @ SV1864 )
              = ( SV114 @ SV1864 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5047]) ).

thf(5083,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5047]) ).

thf(5084,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1865: $i] :
              ( ( SV116 @ SV1865 )
              = ( SV114 @ SV1865 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5048]) ).

thf(5085,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5048]) ).

thf(5086,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
              | ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5049]) ).

thf(5087,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
              | ~ ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5049]) ).

thf(5088,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
          | ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5051]) ).

thf(5089,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
          | ~ ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5052]) ).

thf(5090,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
          | ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5053]) ).

thf(5091,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
          | ~ ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5054]) ).

thf(5092,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1866 )
          = ( SV114 @ SV1866 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5055]) ).

thf(5093,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1867: $i] :
              ( ( SV116 @ SV1867 )
              = ( SV114 @ SV1867 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5057]) ).

thf(5094,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5057]) ).

thf(5095,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
              | ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5058]) ).

thf(5096,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
              | ~ ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5058]) ).

thf(5097,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
          | ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5060]) ).

thf(5098,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
          | ~ ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5061]) ).

thf(5099,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
          | ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5062]) ).

thf(5100,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
          | ~ ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5063]) ).

thf(5101,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1868 )
          = ( SV114 @ SV1868 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5064]) ).

thf(5102,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1869: $i] :
              ( ( SV116 @ SV1869 )
              = ( SV114 @ SV1869 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5066]) ).

thf(5103,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5066]) ).

thf(5104,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
              | ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5067]) ).

thf(5105,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
              | ~ ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5067]) ).

thf(5106,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
          | ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5069]) ).

thf(5107,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
          | ~ ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5070]) ).

thf(5108,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
          | ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5071]) ).

thf(5109,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
          | ~ ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5072]) ).

thf(5110,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1870 )
          = ( SV114 @ SV1870 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5073]) ).

thf(5111,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( ! [SV1871: $i] :
              ( ( SV116 @ SV1871 )
              = ( SV114 @ SV1871 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5075]) ).

thf(5112,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 = SV114 )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5075]) ).

thf(5113,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
              | ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5076]) ).

thf(5114,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
              | ~ ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) ) ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5076]) ).

thf(5115,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
          | ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5078]) ).

thf(5116,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
          | ~ ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5079]) ).

thf(5117,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
          | ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5080]) ).

thf(5118,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
          | ~ ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5081]) ).

thf(5119,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1872 )
          = ( SV114 @ SV1872 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5082]) ).

thf(5120,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1873 )
          = ( SV114 @ SV1873 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5084]) ).

thf(5121,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
          | ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5086]) ).

thf(5122,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
          | ~ ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5087]) ).

thf(5123,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5088]) ).

thf(5124,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5089]) ).

thf(5125,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5090]) ).

thf(5126,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5091]) ).

thf(5127,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV1874: $i] :
              ( ( SV116 @ SV1866 @ SV1874 )
              = ( SV114 @ SV1866 @ SV1874 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5092]) ).

thf(5128,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1866 )
          = ( SV114 @ SV1866 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5092]) ).

thf(5129,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1875 )
          = ( SV114 @ SV1875 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5093]) ).

thf(5130,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
          | ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5095]) ).

thf(5131,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
          | ~ ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5096]) ).

thf(5132,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5097]) ).

thf(5133,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5098]) ).

thf(5134,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5099]) ).

thf(5135,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5100]) ).

thf(5136,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV1876: $i] :
              ( ( SV116 @ SV1868 @ SV1876 )
              = ( SV114 @ SV1868 @ SV1876 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5101]) ).

thf(5137,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1868 )
          = ( SV114 @ SV1868 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5101]) ).

thf(5138,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1877 )
          = ( SV114 @ SV1877 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5102]) ).

thf(5139,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
          | ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5104]) ).

thf(5140,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
          | ~ ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5105]) ).

thf(5141,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5106]) ).

thf(5142,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5107]) ).

thf(5143,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5108]) ).

thf(5144,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5109]) ).

thf(5145,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV1878: $i] :
              ( ( SV116 @ SV1870 @ SV1878 )
              = ( SV114 @ SV1870 @ SV1878 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5110]) ).

thf(5146,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1870 )
          = ( SV114 @ SV1870 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5110]) ).

thf(5147,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1879 )
          = ( SV114 @ SV1879 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5111]) ).

thf(5148,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
          | ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5113]) ).

thf(5149,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
          | ~ ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5114]) ).

thf(5150,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5115]) ).

thf(5151,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5116]) ).

thf(5152,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5117]) ).

thf(5153,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5118]) ).

thf(5154,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV1880: $i] :
              ( ( SV116 @ SV1872 @ SV1880 )
              = ( SV114 @ SV1872 @ SV1880 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5119]) ).

thf(5155,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1872 )
          = ( SV114 @ SV1872 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5119]) ).

thf(5156,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV1881: $i] :
              ( ( SV116 @ SV1873 @ SV1881 )
              = ( SV114 @ SV1873 @ SV1881 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5120]) ).

thf(5157,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1873 )
          = ( SV114 @ SV1873 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5120]) ).

thf(5158,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5121]) ).

thf(5159,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5122]) ).

thf(5160,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5124]) ).

thf(5161,plain,
    ! [SV114: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5126]) ).

thf(5162,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1882: $i,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1866 @ SV1882 )
          = ( SV114 @ SV1866 @ SV1882 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5127]) ).

thf(5163,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV1883: $i] :
              ( ( SV116 @ SV1875 @ SV1883 )
              = ( SV114 @ SV1875 @ SV1883 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5129]) ).

thf(5164,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1875 )
          = ( SV114 @ SV1875 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5129]) ).

thf(5165,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5130]) ).

thf(5166,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5131]) ).

thf(5167,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5133]) ).

thf(5168,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5135]) ).

thf(5169,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1884: $i,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1868 @ SV1884 )
          = ( SV114 @ SV1868 @ SV1884 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5136]) ).

thf(5170,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV1885: $i] :
              ( ( SV116 @ SV1877 @ SV1885 )
              = ( SV114 @ SV1877 @ SV1885 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5138]) ).

thf(5171,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1877 )
          = ( SV114 @ SV1877 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5138]) ).

thf(5172,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5139]) ).

thf(5173,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5140]) ).

thf(5174,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5142]) ).

thf(5175,plain,
    ! [SV114: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5144]) ).

thf(5176,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1886: $i,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1870 @ SV1886 )
          = ( SV114 @ SV1870 @ SV1886 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5145]) ).

thf(5177,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( ! [SV1887: $i] :
              ( ( SV116 @ SV1879 @ SV1887 )
              = ( SV114 @ SV1879 @ SV1887 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5147]) ).

thf(5178,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1879 )
          = ( SV114 @ SV1879 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5147]) ).

thf(5179,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
        = $true )
      | ( ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5148]) ).

thf(5180,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) ) )
        = $true )
      | ( ( ~ ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5149]) ).

thf(5181,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5151]) ).

thf(5182,plain,
    ! [SV114: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5153]) ).

thf(5183,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1888: $i,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1872 @ SV1888 )
          = ( SV114 @ SV1872 @ SV1888 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5154]) ).

thf(5184,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1889: $i,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1873 @ SV1889 )
          = ( SV114 @ SV1873 @ SV1889 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5156]) ).

thf(5185,plain,
    ! [SV114: $i > $i > $o,SV260: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5159]) ).

thf(5186,plain,
    ! [SV116: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK108_SV1837 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK120_SV1849 @ SV114 @ SV263 @ SV264 @ SV116 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5160]) ).

thf(5187,plain,
    ! [SV116: $i > $i > $o,SV263: $i > $o,SV264: $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK109_SV1838 @ SV264 @ SV263 @ SV114 @ SV116 ) @ ( sK121_SV1850 @ SV114 @ SV263 @ SV264 @ SV116 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5161]) ).

thf(5188,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1882: $i,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1866 @ SV1882 )
              | ( SV114 @ SV1866 @ SV1882 ) )
          | ~ ( ~ ( SV116 @ SV1866 @ SV1882 )
              | ~ ( SV114 @ SV1866 @ SV1882 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5162]) ).

thf(5189,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1882: $i,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1866 @ SV1882 )
          = ( SV114 @ SV1866 @ SV1882 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5162]) ).

thf(5190,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1890: $i,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1875 @ SV1890 )
          = ( SV114 @ SV1875 @ SV1890 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5163]) ).

thf(5191,plain,
    ! [SV114: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5166]) ).

thf(5192,plain,
    ! [SV116: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK110_SV1839 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK122_SV1851 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5167]) ).

thf(5193,plain,
    ! [SV116: $i > $i > $o,SV257: $i > $i,SV322: $i > $o,SV323: $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK111_SV1840 @ SV323 @ SV322 @ SV257 @ SV114 @ SV116 ) @ ( sK123_SV1852 @ SV114 @ SV257 @ SV322 @ SV323 @ SV116 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5168]) ).

thf(5194,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1884: $i,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1868 @ SV1884 )
              | ( SV114 @ SV1868 @ SV1884 ) )
          | ~ ( ~ ( SV116 @ SV1868 @ SV1884 )
              | ~ ( SV114 @ SV1868 @ SV1884 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5169]) ).

thf(5195,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1884: $i,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1868 @ SV1884 )
          = ( SV114 @ SV1868 @ SV1884 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5169]) ).

thf(5196,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1891: $i,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1877 @ SV1891 )
          = ( SV114 @ SV1877 @ SV1891 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[5170]) ).

thf(5197,plain,
    ! [SV114: $i > $i > $o,SV293: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5173]) ).

thf(5198,plain,
    ! [SV116: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK112_SV1841 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK124_SV1853 @ SV114 @ SV296 @ SV297 @ SV116 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5174]) ).

thf(5199,plain,
    ! [SV116: $i > $i > $o,SV296: $i > $o,SV297: $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK113_SV1842 @ SV297 @ SV296 @ SV114 @ SV116 ) @ ( sK125_SV1854 @ SV114 @ SV296 @ SV297 @ SV116 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5175]) ).

thf(5200,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1886: $i,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1870 @ SV1886 )
              | ( SV114 @ SV1870 @ SV1886 ) )
          | ~ ( ~ ( SV116 @ SV1870 @ SV1886 )
              | ~ ( SV114 @ SV1870 @ SV1886 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5176]) ).

thf(5201,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1886: $i,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1870 @ SV1886 )
          = ( SV114 @ SV1870 @ SV1886 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5176]) ).

thf(5202,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1892: $i,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1879 @ SV1892 )
          = ( SV114 @ SV1879 @ SV1892 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[5177]) ).

thf(5203,plain,
    ! [SV114: $i > $i > $o,SV306: $i > $o,SV116: $i > $i > $o] :
      ( ( ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
        = $false )
      | ( ( ~ ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) ) )
        = $true )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5180]) ).

thf(5204,plain,
    ! [SV116: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK114_SV1843 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK126_SV1855 @ SV114 @ SV309 @ SV310 @ SV116 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5181]) ).

thf(5205,plain,
    ! [SV116: $i > $i > $o,SV309: $i > $o,SV310: $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK115_SV1844 @ SV310 @ SV309 @ SV114 @ SV116 ) @ ( sK127_SV1856 @ SV114 @ SV309 @ SV310 @ SV116 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5182]) ).

thf(5206,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1888: $i,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1872 @ SV1888 )
              | ( SV114 @ SV1872 @ SV1888 ) )
          | ~ ( ~ ( SV116 @ SV1872 @ SV1888 )
              | ~ ( SV114 @ SV1872 @ SV1888 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5183]) ).

thf(5207,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1888: $i,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1872 @ SV1888 )
          = ( SV114 @ SV1872 @ SV1888 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5183]) ).

thf(5208,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1889: $i,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1873 @ SV1889 )
              | ( SV114 @ SV1873 @ SV1889 ) )
          | ~ ( ~ ( SV116 @ SV1873 @ SV1889 )
              | ~ ( SV114 @ SV1873 @ SV1889 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5184]) ).

thf(5209,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1889: $i,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1873 @ SV1889 )
          = ( SV114 @ SV1873 @ SV1889 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5184]) ).

thf(5210,plain,
    ! [SV116: $i > $i > $o,SV260: $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK116_SV1845 @ SV260 @ SV114 @ SV116 ) @ ( sK128_SV1857 @ SV114 @ SV260 @ SV116 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5185]) ).

thf(5211,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1882: $i,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1866 @ SV1882 )
              | ( SV114 @ SV1866 @ SV1882 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV1866 @ SV1882 )
              | ~ ( SV114 @ SV1866 @ SV1882 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5188]) ).

thf(5212,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1890: $i,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1875 @ SV1890 )
              | ( SV114 @ SV1875 @ SV1890 ) )
          | ~ ( ~ ( SV116 @ SV1875 @ SV1890 )
              | ~ ( SV114 @ SV1875 @ SV1890 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5190]) ).

thf(5213,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1890: $i,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1875 @ SV1890 )
          = ( SV114 @ SV1875 @ SV1890 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5190]) ).

thf(5214,plain,
    ! [SV116: $i > $i > $o,SV257: $i > $i,SV319: $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK117_SV1846 @ SV319 @ SV257 @ SV114 @ SV116 ) @ ( sK129_SV1858 @ SV114 @ SV257 @ SV319 @ SV116 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5191]) ).

thf(5215,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1884: $i,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1868 @ SV1884 )
              | ( SV114 @ SV1868 @ SV1884 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV1868 @ SV1884 )
              | ~ ( SV114 @ SV1868 @ SV1884 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5194]) ).

thf(5216,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1891: $i,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1877 @ SV1891 )
              | ( SV114 @ SV1877 @ SV1891 ) )
          | ~ ( ~ ( SV116 @ SV1877 @ SV1891 )
              | ~ ( SV114 @ SV1877 @ SV1891 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5196]) ).

thf(5217,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1891: $i,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1877 @ SV1891 )
          = ( SV114 @ SV1877 @ SV1891 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[5196]) ).

thf(5218,plain,
    ! [SV116: $i > $i > $o,SV293: $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK118_SV1847 @ SV293 @ SV114 @ SV116 ) @ ( sK130_SV1859 @ SV114 @ SV293 @ SV116 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5197]) ).

thf(5219,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1886: $i,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1870 @ SV1886 )
              | ( SV114 @ SV1870 @ SV1886 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV1870 @ SV1886 )
              | ~ ( SV114 @ SV1870 @ SV1886 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5200]) ).

thf(5220,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1892: $i,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1879 @ SV1892 )
              | ( SV114 @ SV1879 @ SV1892 ) )
          | ~ ( ~ ( SV116 @ SV1879 @ SV1892 )
              | ~ ( SV114 @ SV1879 @ SV1892 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5202]) ).

thf(5221,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1892: $i,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1879 @ SV1892 )
          = ( SV114 @ SV1879 @ SV1892 ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[5202]) ).

thf(5222,plain,
    ! [SV116: $i > $i > $o,SV306: $i > $o,SV114: $i > $i > $o] :
      ( ( ( SV114 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
        = $false )
      | ( ( SV116 @ ( sK119_SV1848 @ SV306 @ SV114 @ SV116 ) @ ( sK131_SV1860 @ SV114 @ SV306 @ SV116 ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5203]) ).

thf(5223,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1888: $i,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1872 @ SV1888 )
              | ( SV114 @ SV1872 @ SV1888 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV1872 @ SV1888 )
              | ~ ( SV114 @ SV1872 @ SV1888 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5206]) ).

thf(5224,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1889: $i,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1873 @ SV1889 )
              | ( SV114 @ SV1873 @ SV1889 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV1873 @ SV1889 )
              | ~ ( SV114 @ SV1873 @ SV1889 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5208]) ).

thf(5225,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1882: $i,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1866 @ SV1882 )
          | ( SV114 @ SV1866 @ SV1882 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1866 @ SV1882 )
              | ~ ( SV114 @ SV1866 @ SV1882 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5211]) ).

thf(5226,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1890: $i,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1875 @ SV1890 )
              | ( SV114 @ SV1875 @ SV1890 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV1875 @ SV1890 )
              | ~ ( SV114 @ SV1875 @ SV1890 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5212]) ).

thf(5227,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1884: $i,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1868 @ SV1884 )
          | ( SV114 @ SV1868 @ SV1884 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1868 @ SV1884 )
              | ~ ( SV114 @ SV1868 @ SV1884 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5215]) ).

thf(5228,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1891: $i,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1877 @ SV1891 )
              | ( SV114 @ SV1877 @ SV1891 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV1877 @ SV1891 )
              | ~ ( SV114 @ SV1877 @ SV1891 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[5216]) ).

thf(5229,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1886: $i,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1870 @ SV1886 )
          | ( SV114 @ SV1870 @ SV1886 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1870 @ SV1886 )
              | ~ ( SV114 @ SV1870 @ SV1886 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5219]) ).

thf(5230,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1892: $i,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( ( SV116 @ SV1879 @ SV1892 )
              | ( SV114 @ SV1879 @ SV1892 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV116 @ SV1879 @ SV1892 )
              | ~ ( SV114 @ SV1879 @ SV1892 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[5220]) ).

thf(5231,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1888: $i,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1872 @ SV1888 )
          | ( SV114 @ SV1872 @ SV1888 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1872 @ SV1888 )
              | ~ ( SV114 @ SV1872 @ SV1888 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5223]) ).

thf(5232,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1889: $i,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1873 @ SV1889 )
          | ( SV114 @ SV1873 @ SV1889 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1873 @ SV1889 )
              | ~ ( SV114 @ SV1873 @ SV1889 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5224]) ).

thf(5233,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1882: $i,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1866 @ SV1882 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1866 @ SV1882 )
              | ~ ( SV114 @ SV1866 @ SV1882 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5225]) ).

thf(5234,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1882: $i,SV1866: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1866 @ SV1882 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1866 @ SV1882 )
              | ~ ( SV114 @ SV1866 @ SV1882 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5225]) ).

thf(5235,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1890: $i,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1875 @ SV1890 )
          | ( SV114 @ SV1875 @ SV1890 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1875 @ SV1890 )
              | ~ ( SV114 @ SV1875 @ SV1890 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5226]) ).

thf(5236,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1884: $i,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1868 @ SV1884 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1868 @ SV1884 )
              | ~ ( SV114 @ SV1868 @ SV1884 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5227]) ).

thf(5237,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV116: $i > $i > $o,SV1884: $i,SV1868: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1868 @ SV1884 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1868 @ SV1884 )
              | ~ ( SV114 @ SV1868 @ SV1884 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5227]) ).

thf(5238,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1891: $i,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1877 @ SV1891 )
          | ( SV114 @ SV1877 @ SV1891 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1877 @ SV1891 )
              | ~ ( SV114 @ SV1877 @ SV1891 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5228]) ).

thf(5239,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1886: $i,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1870 @ SV1886 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1870 @ SV1886 )
              | ~ ( SV114 @ SV1870 @ SV1886 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5229]) ).

thf(5240,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1886: $i,SV1870: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1870 @ SV1886 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1870 @ SV1886 )
              | ~ ( SV114 @ SV1870 @ SV1886 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5229]) ).

thf(5241,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1892: $i,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( ( SV116 @ SV1879 @ SV1892 )
          | ( SV114 @ SV1879 @ SV1892 ) )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1879 @ SV1892 )
              | ~ ( SV114 @ SV1879 @ SV1892 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5230]) ).

thf(5242,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1888: $i,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1872 @ SV1888 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1872 @ SV1888 )
              | ~ ( SV114 @ SV1872 @ SV1888 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5231]) ).

thf(5243,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1888: $i,SV1872: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1872 @ SV1888 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1872 @ SV1888 )
              | ~ ( SV114 @ SV1872 @ SV1888 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5231]) ).

thf(5244,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1889: $i,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1873 @ SV1889 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1873 @ SV1889 )
              | ~ ( SV114 @ SV1873 @ SV1889 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5232]) ).

thf(5245,plain,
    ! [SV260: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1889: $i,SV1873: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1873 @ SV1889 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1873 @ SV1889 )
              | ~ ( SV114 @ SV1873 @ SV1889 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5232]) ).

thf(5246,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1882: $i,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1866 @ SV1882 )
          | ~ ( SV114 @ SV1866 @ SV1882 ) )
        = $false )
      | ( ( SV116 @ SV1866 @ SV1882 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5233]) ).

thf(5247,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1882: $i,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1866 @ SV1882 )
          | ~ ( SV114 @ SV1866 @ SV1882 ) )
        = $false )
      | ( ( SV114 @ SV1866 @ SV1882 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5234]) ).

thf(5248,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1890: $i,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1875 @ SV1890 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1875 @ SV1890 )
              | ~ ( SV114 @ SV1875 @ SV1890 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5235]) ).

thf(5249,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV116: $i > $i > $o,SV1890: $i,SV1875: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1875 @ SV1890 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1875 @ SV1890 )
              | ~ ( SV114 @ SV1875 @ SV1890 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5235]) ).

thf(5250,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1884: $i,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1868 @ SV1884 )
          | ~ ( SV114 @ SV1868 @ SV1884 ) )
        = $false )
      | ( ( SV116 @ SV1868 @ SV1884 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5236]) ).

thf(5251,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1884: $i,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1868 @ SV1884 )
          | ~ ( SV114 @ SV1868 @ SV1884 ) )
        = $false )
      | ( ( SV114 @ SV1868 @ SV1884 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5237]) ).

thf(5252,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1891: $i,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1877 @ SV1891 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1877 @ SV1891 )
              | ~ ( SV114 @ SV1877 @ SV1891 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5238]) ).

thf(5253,plain,
    ! [SV293: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1891: $i,SV1877: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1877 @ SV1891 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1877 @ SV1891 )
              | ~ ( SV114 @ SV1877 @ SV1891 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5238]) ).

thf(5254,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1886: $i,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1870 @ SV1886 )
          | ~ ( SV114 @ SV1870 @ SV1886 ) )
        = $false )
      | ( ( SV116 @ SV1870 @ SV1886 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5239]) ).

thf(5255,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1886: $i,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1870 @ SV1886 )
          | ~ ( SV114 @ SV1870 @ SV1886 ) )
        = $false )
      | ( ( SV114 @ SV1870 @ SV1886 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5240]) ).

thf(5256,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1892: $i,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1879 @ SV1892 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1879 @ SV1892 )
              | ~ ( SV114 @ SV1879 @ SV1892 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5241]) ).

thf(5257,plain,
    ! [SV306: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1892: $i,SV1879: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1879 @ SV1892 )
        = $false )
      | ( ( ~ ( ~ ( SV116 @ SV1879 @ SV1892 )
              | ~ ( SV114 @ SV1879 @ SV1892 ) ) )
        = $true )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5241]) ).

thf(5258,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1888: $i,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1872 @ SV1888 )
          | ~ ( SV114 @ SV1872 @ SV1888 ) )
        = $false )
      | ( ( SV116 @ SV1872 @ SV1888 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5242]) ).

thf(5259,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1888: $i,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1872 @ SV1888 )
          | ~ ( SV114 @ SV1872 @ SV1888 ) )
        = $false )
      | ( ( SV114 @ SV1872 @ SV1888 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5243]) ).

thf(5260,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1889: $i,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1873 @ SV1889 )
          | ~ ( SV114 @ SV1873 @ SV1889 ) )
        = $false )
      | ( ( SV116 @ SV1873 @ SV1889 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5244]) ).

thf(5261,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1889: $i,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1873 @ SV1889 )
          | ~ ( SV114 @ SV1873 @ SV1889 ) )
        = $false )
      | ( ( SV114 @ SV1873 @ SV1889 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5245]) ).

thf(5263,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1882: $i,SV1866: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV1866 @ SV1882 ) )
        = $false )
      | ( ( SV116 @ SV1866 @ SV1882 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5246]) ).

thf(5264,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1882: $i,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1866 @ SV1882 ) )
        = $false )
      | ( ( SV114 @ SV1866 @ SV1882 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5247]) ).

thf(5266,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1890: $i,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1875 @ SV1890 )
          | ~ ( SV114 @ SV1875 @ SV1890 ) )
        = $false )
      | ( ( SV116 @ SV1875 @ SV1890 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5248]) ).

thf(5267,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1890: $i,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1875 @ SV1890 )
          | ~ ( SV114 @ SV1875 @ SV1890 ) )
        = $false )
      | ( ( SV114 @ SV1875 @ SV1890 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5249]) ).

thf(5269,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV116: $i > $i > $o,SV1884: $i,SV1868: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV1868 @ SV1884 ) )
        = $false )
      | ( ( SV116 @ SV1868 @ SV1884 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5250]) ).

thf(5270,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1884: $i,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1868 @ SV1884 ) )
        = $false )
      | ( ( SV114 @ SV1868 @ SV1884 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5251]) ).

thf(5272,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1891: $i,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1877 @ SV1891 )
          | ~ ( SV114 @ SV1877 @ SV1891 ) )
        = $false )
      | ( ( SV116 @ SV1877 @ SV1891 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5252]) ).

thf(5273,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1891: $i,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1877 @ SV1891 )
          | ~ ( SV114 @ SV1877 @ SV1891 ) )
        = $false )
      | ( ( SV114 @ SV1877 @ SV1891 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[5253]) ).

thf(5275,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1886: $i,SV1870: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV1870 @ SV1886 ) )
        = $false )
      | ( ( SV116 @ SV1870 @ SV1886 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5254]) ).

thf(5276,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1886: $i,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1870 @ SV1886 ) )
        = $false )
      | ( ( SV114 @ SV1870 @ SV1886 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5255]) ).

thf(5278,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1892: $i,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1879 @ SV1892 )
          | ~ ( SV114 @ SV1879 @ SV1892 ) )
        = $false )
      | ( ( SV116 @ SV1879 @ SV1892 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5256]) ).

thf(5279,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1892: $i,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1879 @ SV1892 )
          | ~ ( SV114 @ SV1879 @ SV1892 ) )
        = $false )
      | ( ( SV114 @ SV1879 @ SV1892 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[5257]) ).

thf(5281,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1888: $i,SV1872: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV1872 @ SV1888 ) )
        = $false )
      | ( ( SV116 @ SV1872 @ SV1888 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5258]) ).

thf(5282,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1888: $i,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1872 @ SV1888 ) )
        = $false )
      | ( ( SV114 @ SV1872 @ SV1888 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5259]) ).

thf(5285,plain,
    ! [SV260: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1889: $i,SV1873: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV1873 @ SV1889 ) )
        = $false )
      | ( ( SV116 @ SV1873 @ SV1889 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5260]) ).

thf(5286,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1889: $i,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1873 @ SV1889 ) )
        = $false )
      | ( ( SV114 @ SV1873 @ SV1889 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5261]) ).

thf(5289,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1882: $i,SV1866: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1866 @ SV1882 )
        = $true )
      | ( ( SV116 @ SV1866 @ SV1882 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5263]) ).

thf(5290,plain,
    ! [SV264: $i > $o,SV263: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1882: $i,SV1866: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1866 @ SV1882 )
        = $true )
      | ( ( SV114 @ SV1866 @ SV1882 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( ( SV263 @ SX0 )
                  | ( SV264 @ SX0 ) ) ) )
        = $false )
      | ( ( SV264 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV263 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5264]) ).

thf(5293,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV116: $i > $i > $o,SV1890: $i,SV1875: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV1875 @ SV1890 ) )
        = $false )
      | ( ( SV116 @ SV1875 @ SV1890 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5266]) ).

thf(5294,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1890: $i,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1875 @ SV1890 ) )
        = $false )
      | ( ( SV114 @ SV1875 @ SV1890 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5267]) ).

thf(5297,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV116: $i > $i > $o,SV1884: $i,SV1868: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1868 @ SV1884 )
        = $true )
      | ( ( SV116 @ SV1868 @ SV1884 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5269]) ).

thf(5298,plain,
    ! [SV323: $i > $o,SV322: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1884: $i,SV1868: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1868 @ SV1884 )
        = $true )
      | ( ( SV114 @ SV1868 @ SV1884 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( ( SV322 @ SX0 )
                  | ( SV323 @ SX0 ) ) ) )
        = $false )
      | ( ( SV323 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV322 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5270]) ).

thf(5301,plain,
    ! [SV293: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1891: $i,SV1877: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV1877 @ SV1891 ) )
        = $false )
      | ( ( SV116 @ SV1877 @ SV1891 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5272]) ).

thf(5302,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1891: $i,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1877 @ SV1891 ) )
        = $false )
      | ( ( SV114 @ SV1877 @ SV1891 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[5273]) ).

thf(5305,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1886: $i,SV1870: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1870 @ SV1886 )
        = $true )
      | ( ( SV116 @ SV1870 @ SV1886 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5275]) ).

thf(5306,plain,
    ! [SV297: $i > $o,SV296: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1886: $i,SV1870: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1870 @ SV1886 )
        = $true )
      | ( ( SV114 @ SV1870 @ SV1886 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ( SV296 @ SX0 )
                  | ( SV297 @ SX0 ) ) ) )
        = $false )
      | ( ( SV297 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV296 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5276]) ).

thf(5309,plain,
    ! [SV306: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1892: $i,SV1879: $i,SV114: $i > $i > $o] :
      ( ( ( ~ ( SV114 @ SV1879 @ SV1892 ) )
        = $false )
      | ( ( SV116 @ SV1879 @ SV1892 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5278]) ).

thf(5310,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1892: $i,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( ~ ( SV116 @ SV1879 @ SV1892 ) )
        = $false )
      | ( ( SV114 @ SV1879 @ SV1892 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[5279]) ).

thf(5313,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1888: $i,SV1872: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1872 @ SV1888 )
        = $true )
      | ( ( SV116 @ SV1872 @ SV1888 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5281]) ).

thf(5314,plain,
    ! [SV310: $i > $o,SV309: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1888: $i,SV1872: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1872 @ SV1888 )
        = $true )
      | ( ( SV114 @ SV1872 @ SV1888 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( ( SV309 @ SX0 )
                  | ( SV310 @ SX0 ) ) ) )
        = $false )
      | ( ( SV310 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV309 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5282]) ).

thf(5317,plain,
    ! [SV260: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1889: $i,SV1873: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1873 @ SV1889 )
        = $true )
      | ( ( SV116 @ SV1873 @ SV1889 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5285]) ).

thf(5318,plain,
    ! [SV260: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1889: $i,SV1873: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1873 @ SV1889 )
        = $true )
      | ( ( SV114 @ SV1873 @ SV1889 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ SX0
              @ ~ ( SV260 @ SX0 ) ) )
        = $false )
      | ( ( SV260 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5286]) ).

thf(5321,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV116: $i > $i > $o,SV1890: $i,SV1875: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1875 @ SV1890 )
        = $true )
      | ( ( SV116 @ SV1875 @ SV1890 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5293]) ).

thf(5322,plain,
    ! [SV319: $i > $o,SV257: $i > $i,SV115: $i,SV114: $i > $i > $o,SV1890: $i,SV1875: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1875 @ SV1890 )
        = $true )
      | ( ( SV114 @ SV1875 @ SV1890 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ ( SV257 @ SX0 ) )
              @ ~ ( SV319 @ SX0 ) ) )
        = $false )
      | ( ( SV319 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ( lYearFn_THFTYPE_IiiI @ ( SV257 @ lAnna_THFTYPE_i ) )
          = ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5294]) ).

thf(5325,plain,
    ! [SV293: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1891: $i,SV1877: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1877 @ SV1891 )
        = $true )
      | ( ( SV116 @ SV1877 @ SV1891 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5301]) ).

thf(5326,plain,
    ! [SV293: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1891: $i,SV1877: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1877 @ SV1891 )
        = $true )
      | ( ( SV114 @ SV1877 @ SV1891 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( SV293 @ SX0 ) ) )
        = $false )
      | ( ( SV293 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[5302]) ).

thf(5329,plain,
    ! [SV306: $i > $o,SV115: $i,SV116: $i > $i > $o,SV1892: $i,SV1879: $i,SV114: $i > $i > $o] :
      ( ( ( SV114 @ SV1879 @ SV1892 )
        = $true )
      | ( ( SV116 @ SV1879 @ SV1892 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5309]) ).

thf(5330,plain,
    ! [SV306: $i > $o,SV115: $i,SV114: $i > $i > $o,SV1892: $i,SV1879: $i,SV116: $i > $i > $o] :
      ( ( ( SV116 @ SV1879 @ SV1892 )
        = $true )
      | ( ( SV114 @ SV1879 @ SV1892 )
        = $false )
      | ( ( SV116 @ SV115 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV114 @ SV115 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SX0 )
              @ ~ ( SV306 @ SX0 ) ) )
        = $false )
      | ( ( SV306 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( lAnna_THFTYPE_i = n2009_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[5310]) ).

thf(5332,plain,
    ! [SV1662: $i > $o] :
      ( ( ( SV1662 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ~ ( SV1662 @ SX0 ) )
        = $false ) ),
    inference(sim,[status(thm)],[4827]) ).

thf(5333,plain,
    ! [SV1666: $i > $i > $o,SV1665: $i > $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1665 @ lAnna_THFTYPE_i ) @ ( SV1666 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( subrelation_THFTYPE_IIioIIioIoI
          @ ^ [SX0: $i] : ( SX0 = lAnna_THFTYPE_i )
          @ ^ [SX0: $i] :
              ~ ( subrelation_THFTYPE_IIioIIioIoI @ ( SV1665 @ SX0 ) @ ( SV1666 @ SX0 ) ) )
        = $false ) ),
    inference(sim,[status(thm)],[4620]) ).

thf(5508,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[163,5333,5332,5330,5329,5326,5325,5322,5321,5318,5317,5314,5313,5306,5305,5298,5297,5290,5289,5222,5221,5218,5217,5214,5213,5210,5209,5207,5205,5204,5201,5199,5198,5195,5193,5192,5189,5187,5186,5179,5178,5172,5171,5165,5164,5158,5157,5155,5152,5150,5146,5143,5141,5137,5134,5132,5128,5125,5123,5112,5103,5094,5085,5083,5077,5074,5068,5065,5059,5056,5050,5046,5044,5039,5037,5032,5030,5025,5023,5016,5010,5004,4998,4994,4992,4989,4988,4985,4983,4980,4979,4976,4974,4971,4970,4967,4965,4962,4961,4957,4956,4954,4953,4952,4945,4944,4942,4941,4940,4933,4932,4930,4929,4928,4921,4920,4918,4917,4916,4910,4906,4898,4894,4886,4882,4874,4870,4831,4830,4829,4828,4825,4824,4823,4822,4821,4820,4819,4818,4817,4816,4815,4814,4813,4812,4811,4810,4809,4808,4807,4806,4805,4804,4803,4802,4763,4762,4761,4760,4759,4758,4757,4756,4755,4754,4751,4750,4747,4746,4743,4742,4739,4738,4735,4734,4731,4730,4727,4726,4723,4722,4721,4720,4719,4718,4717,4716,4715,4714,4711,4710,4707,4706,4703,4702,4699,4698,4697,4696,4695,4694,4693,4692,4691,4690,4689,4688,4687,4686,4685,4684,4683,4682,4681,4680,4679,4678,4677,4676,4675,4674,4673,4672,4671,4670,4669,4668,4667,4666,4665,4664,4663,4662,4661,4660,4659,4658,4629,4628,4625,4624,4617,4616,4475,4474,4473,4472,4471,4470,4469,4468,4467,4466,4465,4464,4463,4462,4461,4460,4459,4458,4457,4456,4455,4454,4453,4452,4451,4450,4449,4448,4447,4446,4445,4444,4443,4442,4441,4440,4439,4438,4437,4436,4435,4434,4433,4432,4431,4430,4429,4428,4427,4426,4425,4424,4423,4422,4421,4420,4419,4418,4417,4416,4415,4414,4413,4412,4411,4410,4409,4408,4407,4406,4405,4404,4403,4402,4401,4400,4399,4398,4397,4396,4395,4394,4393,4392,4391,4390,4389,4388,4387,4386,4385,4384,4383,4382,4381,4380,4379,4378,4377,4376,4375,4374,4373,4372,4371,4370,4369,4368,4367,4366,4365,4364,4363,4362,4361,4360,4359,4358,4357,4356,4355,4354,4353,4352,4351,4350,4349,4348,4347,4346,4345,4344,4343,4342,4341,4340,4339,4338,4337,4336,4335,4334,4333,4332,4331,4330,4329,4328,4327,4326,4325,4324,4323,4322,4321,4320,4319,4316,4315,4312,4311,4308,4307,4304,4303,4302,4301,4300,4299,4298,4297,4296,4295,4294,4293,4292,4291,4290,4289,4288,4287,4286,4285,4284,4283,4278,4277,4272,4271,4262,4261,4260,4259,4258,4257,4256,4255,4254,4253,4252,4251,4250,4249,4248,4247,4246,4245,4244,4243,4238,4237,4232,4231,4222,4221,4218,4217,4214,4213,4210,4209,4206,4205,4204,4203,4202,4201,4200,4199,4198,4197,4196,4195,4194,4193,4192,4191,4190,4189,4188,4187,4186,4185,4180,4179,4174,4173,4164,4163,4160,4159,4156,4155,4152,4151,4148,4147,4146,4145,4142,4141,4138,4137,4134,4133,4130,4129,4128,4127,4124,4123,4120,4119,4116,4115,4112,4111,4110,4109,4106,4105,4102,4101,4098,4097,4094,4093,4092,4091,4088,4087,4084,4083,4080,4079,4076,4075,4074,4073,4070,4069,4068,4067,4066,4065,4064,4063,4062,4044,4042,4041,4040,4039,4038,4037,4036,4035,4034,4033,4032,4031,4030,4029,4028,4027,4026,4025,4024,4023,4022,4021,4020,4017,3925,3923,3922,3921,3919,3830,3829,3828,3771,3770,3769,3768,3767,3766,3765,3764,3763,3762,3677,3564,3563,3427,3264,3263,3262,3261,3260,3259,3252,3251,3248,3247,3246,3245,3244,3243,3242,3241,3240,3239,3234,3233,3230,3229,3223,3222,3221,3027,3024,3023,3022,3021,3020,3019,3014,3013,3010,3009,3008,3007,3006,3005,3004,3003,3002,3001,3000,2999,2998,2942,2941,2940,2939,2938,2937,2932,2931,2928,2927,2926,2925,2924,2923,2922,2921,2920,2919,2912,2911,2906,2905,2813,2812,2809,2808,2807,2806,2800,2799,2798,2795,2794,2793,2792,2791,2790,2789,2788,2787,2786,2785,2730,2729,2726,2725,2724,2723,2718,2717,2714,2713,2712,2711,2710,2709,2708,2707,2706,2705,2702,2701,2692,2691,2599,2598,2597,2596,2595,2594,2527,2526,2525,2524,2523,2522,2521,2520,2519,2510,2509,2508,2507,2506,2505,2504,2503,2502,2501,2496,2495,2492,2491,2490,2485,2484,2420,2419,2418,2417,2414,2413,2412,2407,2406,2405,2402,2401,2400,2399,2398,2397,2396,2395,2394,2393,2392,2391,2338,2337,2336,2335,2332,2331,2326,2325,2322,2321,2320,2319,2318,2317,2316,2315,2314,2313,2310,2309,2306,2305,2208,2207,2206,2205,2204,2203,2202,2201,2196,2195,2190,2189,2188,2187,2186,2185,2184,2183,2178,2177,2176,2173,2172,2167,2166,2102,2101,2100,2099,2098,2097,2096,2095,2090,2089,2086,2085,2082,2081,2080,2079,2078,2077,2072,2071,2068,2067,2066,2061,2060,2059,1996,1995,1994,1993,1992,1991,1990,1989,1984,1983,1980,1979,1978,1977,1974,1973,1972,1971,1966,1965,1964,1961,1960,1955,1954,1891,1890,1889,1888,1887,1886,1885,1884,1879,1878,1875,1874,1873,1872,1871,1870,1867,1866,1861,1860,1859,1856,1855,1850,1849,1786,1785,1784,1783,1782,1781,1780,1779,1774,1773,1770,1769,1768,1767,1766,1765,1764,1763,1756,1755,1752,1751,1750,1745,1744,1743,1679,1678,1677,1676,1675,1674,1673,1672,1667,1666,1663,1662,1661,1660,1659,1658,1657,1656,1655,1654,1651,1648,1647,1644,1643,1640,1637,1636,1633,1630,1627,1624,1621,1515,1460,1458,1457,1454,1453,1450,1449,1446,1445,1434,1433,1426,1425,1422,1421,1418,1417,1414,1413,1410,1409,1402,1401,1394,1393,1382,1381,1279,1278,1275,1274,1270,1269,1262,1261,1251,1250,1244,1243,1241,1240,1238,1237,1235,1234,1232,1231,1227,1225,1223,1222,1220,1218,1216,1215,1211,1209,1207,1206,1193,1192,1177,1176,1167,1166,1163,1162,1159,1158,1155,1154,1151,1150,1145,1142,1139,1137,1134,1131,1126,1123,1120,1101,1096,1088,1081,1076,1069,1065,1061,1057,1053,1051,1048,1041,1034,1031,1024,1021,1018,1015,1012,1006,1004,1000,998,992,990,977,970,969,963,962,960,953,952,950,947,944,941,938,934,933,930,928,922,920,914,913,910,908,902,901,898,897,894,893,890,889,886,885,883,876,875,867,866,860,853,852,846,841,836,831,826,817,809,798,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,562,561,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,460,457,454,452,451,450,449,448,443,442,439,438,437,435,430,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,197,195,191,189,185,182,177,172,168,166]) ).

thf(5509,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[5508]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR133^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.18  % Computer : n005.cluster.edu
% 0.11/0.18  % Model    : x86_64 x86_64
% 0.11/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18  % Memory   : 8046.5625MB
% 0.11/0.18  % OS       : Linux 6.8.0-71-generic
% 0.11/0.18  % CPULimit : 300
% 0.11/0.18  % WCLimit  : 300
% 0.11/0.18  % DateTime : Tue Oct  6 18:55:14 UTC 2026
% 0.11/0.18  % CPUTime  : 
% 0.11/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 197.31/33.46  
% 197.31/33.46   No.of.Axioms: 79
% 197.31/33.46  
% 197.31/33.46   Length.of.Defs: 0
% 197.31/33.46  
% 197.31/33.46   Contains.Choice.Funs: false
% 197.31/33.46  ................................................................................................................................................
% 197.31/33.46  
% 197.31/33.46  ********************************
% 197.31/33.46  *   All subproblems solved!    *
% 197.31/33.46  ********************************
% 197.31/33.46  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:79,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:5508,loop_count:100,foatp_calls:15,translation:fof_full)
% 197.31/33.46  
% 197.31/33.46  %**** Beginning of derivation protocol ****
% 197.31/33.46  % SZS output start CNFRefutation
% See solution above
% 197.31/33.48  
% 197.31/33.48  %**** End of derivation protocol ****
% 197.31/33.48  %**** no. of clauses in derivation: 3463 ****
% 197.31/33.48  %**** clause counter: 5508 ****
% 197.31/33.48  
% 197.31/33.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:79,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:5508,loop_count:100,foatp_calls:15,translation:fof_full)
%------------------------------------------------------------------------------