TSTP Solution File: CSR132^1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : CSR132^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Fri Jul 15 21:37:22 EDT 2022

% Result   : Theorem 3.81s 4.11s
% Output   : CNFRefutation 9.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   59
%            Number of leaves      :  277
% Syntax   : Number of formulae    : 2729 (  67 unt; 267 typ;   0 def)
%            Number of atoms       : 29223 (12705 equ;   0 cnn)
%            Maximal formula atoms :    7 (  11 avg)
%            Number of connectives : 33787 (7323   ~;8574   |;  18   &;17872   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  : 8528 (8528   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  269 ( 266 usr;  99 con; 0-2 aty)
%            Number of variables   : 14549 (3222   ^11303   !;  24   ?;14549   :)

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

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

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

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

thf(tp_lBill_THFTYPE_i,type,
    lBill_THFTYPE_i: $i ).

thf(tp_lBob_THFTYPE_i,type,
    lBob_THFTYPE_i: $i ).

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

thf(tp_lSue_THFTYPE_i,type,
    lSue_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_n2009_THFTYPE_i,type,
    n2009_THFTYPE_i: $i ).

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

thf(tp_sK100_SY93,type,
    sK100_SY93: ( $i > $i > $o ) > $i ).

thf(tp_sK101_SY94,type,
    sK101_SY94: ( $i > $i > $o ) > $i > $i ).

thf(tp_sK102_SY95,type,
    sK102_SY95: ( $i > $i > $o ) > $i > $i ).

thf(tp_sK103_SX0,type,
    sK103_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK104_SX0,type,
    sK104_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK105_SY96,type,
    sK105_SY96: ( $i > $i > $o ) > $i ).

thf(tp_sK106_SX0,type,
    sK106_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK107_SY97,type,
    sK107_SY97: ( $i > $i > $o ) > $i > $i ).

thf(tp_sK108_SY98,type,
    sK108_SY98: ( $i > $i > $o ) > $i > $i ).

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

thf(tp_sK10_SV10,type,
    sK10_SV10: ( $i > $i > $o ) > $i ).

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

thf(tp_sK111_SY99,type,
    sK111_SY99: ( $i > $i > $o ) > $i ).

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

thf(tp_sK113_SY100,type,
    sK113_SY100: ( $i > $i > $o ) > $i ).

thf(tp_sK114_SX0,type,
    sK114_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK115_SY101,type,
    sK115_SY101: ( $i > $i > $o ) > $i ).

thf(tp_sK116_SY102,type,
    sK116_SY102: ( $i > $i > $o ) > $i ).

thf(tp_sK117_SY104,type,
    sK117_SY104: ( $i > $i > $o ) > $i ).

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

thf(tp_sK119_SY105,type,
    sK119_SY105: ( $i > $i > $o ) > $i ).

thf(tp_sK11_SV11,type,
    sK11_SV11: ( $i > $i > $o ) > $i ).

thf(tp_sK120_SY106,type,
    sK120_SY106: ( $i > $i > $o ) > $i ).

thf(tp_sK121_SX0,type,
    sK121_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK122_SX0,type,
    sK122_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK123_SX0,type,
    sK123_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK124_SY127,type,
    sK124_SY127: ( $i > $i > $o ) > $i ).

thf(tp_sK125_SY128,type,
    sK125_SY128: ( $i > $i > $o ) > $i ).

thf(tp_sK126_SX0,type,
    sK126_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK127_SY129,type,
    sK127_SY129: ( $i > $i > $o ) > $i ).

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

thf(tp_sK129_SY131,type,
    sK129_SY131: ( $i > $i > $o ) > $i ).

thf(tp_sK12_SV12,type,
    sK12_SV12: ( $i > $i > $o ) > $i ).

thf(tp_sK130_SY132,type,
    sK130_SY132: ( $i > $i > $o ) > $i ).

thf(tp_sK131_SX0,type,
    sK131_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK132_SY133,type,
    sK132_SY133: ( $i > $i > $o ) > $i ).

thf(tp_sK133_SY134,type,
    sK133_SY134: ( $i > $i > $o ) > $i ).

thf(tp_sK134_SY136,type,
    sK134_SY136: ( $i > $i > $o ) > $i ).

thf(tp_sK135_SX0,type,
    sK135_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK136_SY146,type,
    sK136_SY146: ( $i > $i > $o ) > $i ).

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

thf(tp_sK138_SY150,type,
    sK138_SY150: ( $i > $i > $o ) > $i ).

thf(tp_sK139_SY161,type,
    sK139_SY161: ( $i > $i > $o ) > $i ).

thf(tp_sK13_SV13,type,
    sK13_SV13: ( $i > $i > $o ) > $i ).

thf(tp_sK140_SY162,type,
    sK140_SY162: ( $i > $i > $o ) > $i ).

thf(tp_sK141_SY165,type,
    sK141_SY165: ( $i > $i > $o ) > $i ).

thf(tp_sK142_SY166,type,
    sK142_SY166: ( $i > $i > $o ) > $i ).

thf(tp_sK143_SY193,type,
    sK143_SY193: ( $i > $i > $o ) > $i ).

thf(tp_sK144_SY196,type,
    sK144_SY196: ( $i > $i > $o ) > $i ).

thf(tp_sK145_SV796,type,
    sK145_SV796: ( $i > $i > $o ) > $i ).

thf(tp_sK146_SV797,type,
    sK146_SV797: ( $i > $i > $o ) > $i ).

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

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

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

thf(tp_sK14_SV14,type,
    sK14_SV14: ( $i > $i > $o ) > $i ).

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

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

thf(tp_sK152_SV807,type,
    sK152_SV807: ( $i > $i > $o ) > $i ).

thf(tp_sK153_SV808,type,
    sK153_SV808: ( $i > $i > $o ) > $i ).

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

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

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

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

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

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

thf(tp_sK15_SV15,type,
    sK15_SV15: ( $i > $i > $o ) > $i ).

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

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

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

thf(tp_sK163_SV818,type,
    sK163_SV818: ( $i > $i > $o ) > $i ).

thf(tp_sK164_SV819,type,
    sK164_SV819: ( $i > $i > $o ) > $i ).

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

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

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

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

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

thf(tp_sK16_SV16,type,
    sK16_SV16: ( $i > $i > $o ) > $i ).

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

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

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

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

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

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

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

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

thf(tp_sK178_SV829,type,
    sK178_SV829: ( $i > $i > $o ) > $i ).

thf(tp_sK179_SV830,type,
    sK179_SV830: ( $i > $i > $o ) > $i ).

thf(tp_sK17_SV17,type,
    sK17_SV17: ( $i > $i > $o ) > $i ).

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

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

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

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

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

thf(tp_sK185_E,type,
    sK185_E: $i ).

thf(tp_sK186_E,type,
    sK186_E: $i ).

thf(tp_sK187_E,type,
    sK187_E: $i ).

thf(tp_sK188_E,type,
    sK188_E: $i ).

thf(tp_sK189_E,type,
    sK189_E: $i ).

thf(tp_sK18_SX0,type,
    sK18_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK190_E,type,
    sK190_E: $i ).

thf(tp_sK191_E,type,
    sK191_E: $i ).

thf(tp_sK192_E,type,
    sK192_E: $i ).

thf(tp_sK193_E,type,
    sK193_E: $i ).

thf(tp_sK194_E,type,
    sK194_E: $i ).

thf(tp_sK195_E,type,
    sK195_E: $i ).

thf(tp_sK196_E,type,
    sK196_E: $i ).

thf(tp_sK197_SV840,type,
    sK197_SV840: ( $i > $i > $o ) > $i ).

thf(tp_sK198_SV841,type,
    sK198_SV841: ( $i > $i > $o ) > $i ).

thf(tp_sK199_E,type,
    sK199_E: ( $i > $i > $o ) > $i ).

thf(tp_sK19_SV18,type,
    sK19_SV18: ( $i > $i > $o ) > $i ).

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

thf(tp_sK200_E,type,
    sK200_E: $i ).

thf(tp_sK201_E,type,
    sK201_E: $i ).

thf(tp_sK202_E,type,
    sK202_E: $i ).

thf(tp_sK203_E,type,
    sK203_E: $i ).

thf(tp_sK204_E,type,
    sK204_E: $i ).

thf(tp_sK205_E,type,
    sK205_E: $i ).

thf(tp_sK206_E,type,
    sK206_E: $i ).

thf(tp_sK207_E,type,
    sK207_E: $i ).

thf(tp_sK208_E,type,
    sK208_E: $i ).

thf(tp_sK209_E,type,
    sK209_E: $i ).

thf(tp_sK20_SX0,type,
    sK20_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK210_E,type,
    sK210_E: $i ).

thf(tp_sK211_E,type,
    sK211_E: $i ).

thf(tp_sK212_E,type,
    sK212_E: $i ).

thf(tp_sK213_E,type,
    sK213_E: $i ).

thf(tp_sK214_E,type,
    sK214_E: $i ).

thf(tp_sK215_E,type,
    sK215_E: $i ).

thf(tp_sK216_E,type,
    sK216_E: $i ).

thf(tp_sK217_E,type,
    sK217_E: $i ).

thf(tp_sK218_E,type,
    sK218_E: $i ).

thf(tp_sK219_E,type,
    sK219_E: $i ).

thf(tp_sK21_SX0,type,
    sK21_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK220_SV851,type,
    sK220_SV851: ( $i > $i > $o ) > $i ).

thf(tp_sK221_SV852,type,
    sK221_SV852: ( $i > $i > $o ) > $i ).

thf(tp_sK222_E,type,
    sK222_E: ( $i > $i > $o ) > $i ).

thf(tp_sK223_E,type,
    sK223_E: $i ).

thf(tp_sK224_E,type,
    sK224_E: $i ).

thf(tp_sK225_E,type,
    sK225_E: $i ).

thf(tp_sK226_E,type,
    sK226_E: $i ).

thf(tp_sK227_E,type,
    sK227_E: $i ).

thf(tp_sK228_E,type,
    sK228_E: $i ).

thf(tp_sK229_E,type,
    sK229_E: $i ).

thf(tp_sK22_SV19,type,
    sK22_SV19: ( $i > $i > $o ) > $i ).

thf(tp_sK230_E,type,
    sK230_E: $i ).

thf(tp_sK231_E,type,
    sK231_E: $i ).

thf(tp_sK232_E,type,
    sK232_E: $i ).

thf(tp_sK233_E,type,
    sK233_E: $i ).

thf(tp_sK234_E,type,
    sK234_E: $i ).

thf(tp_sK235_E,type,
    sK235_E: $i ).

thf(tp_sK236_E,type,
    sK236_E: $i ).

thf(tp_sK237_E,type,
    sK237_E: $i ).

thf(tp_sK238_E,type,
    sK238_E: $i ).

thf(tp_sK239_E,type,
    sK239_E: $i ).

thf(tp_sK23_SX0,type,
    sK23_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK240_E,type,
    sK240_E: $i ).

thf(tp_sK241_E,type,
    sK241_E: $i ).

thf(tp_sK242_E,type,
    sK242_E: $i ).

thf(tp_sK243_E,type,
    sK243_E: $i ).

thf(tp_sK244_E,type,
    sK244_E: $i ).

thf(tp_sK245_E,type,
    sK245_E: $i ).

thf(tp_sK246_E,type,
    sK246_E: $i ).

thf(tp_sK247_SV862,type,
    sK247_SV862: ( $i > $i > $o ) > $i ).

thf(tp_sK248_SV863,type,
    sK248_SV863: ( $i > $i > $o ) > $i ).

thf(tp_sK249_E,type,
    sK249_E: ( $i > $i > $o ) > $i ).

thf(tp_sK24_SV20,type,
    sK24_SV20: ( $i > $i > $o ) > $i ).

thf(tp_sK250_SV873,type,
    sK250_SV873: ( $i > $i > $o ) > $i ).

thf(tp_sK251_E,type,
    sK251_E: ( $i > $i > $o ) > $i ).

thf(tp_sK252_E,type,
    sK252_E: $i ).

thf(tp_sK253_E,type,
    sK253_E: $i ).

thf(tp_sK254_SV883,type,
    sK254_SV883: ( $i > $i > $o ) > $i ).

thf(tp_sK255_E,type,
    sK255_E: ( $i > $i > $o ) > $i ).

thf(tp_sK25_SV21,type,
    sK25_SV21: ( $i > $i > $o ) > $i ).

thf(tp_sK26_SV22,type,
    sK26_SV22: ( $i > $i > $o ) > $i ).

thf(tp_sK27_SV23,type,
    sK27_SV23: ( $i > $i > $o ) > $i ).

thf(tp_sK28_SV24,type,
    sK28_SV24: ( $i > $i > $o ) > $i ).

thf(tp_sK29_SV25,type,
    sK29_SV25: ( $i > $i > $o ) > $i ).

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

thf(tp_sK30_SV26,type,
    sK30_SV26: ( $i > $i > $o ) > $i ).

thf(tp_sK31_SV27,type,
    sK31_SV27: ( $i > $i > $o ) > $i ).

thf(tp_sK32_SV28,type,
    sK32_SV28: ( $i > $i > $o ) > $i ).

thf(tp_sK33_SX0,type,
    sK33_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK34_SY41,type,
    sK34_SY41: ( $i > $i > $o ) > $i ).

thf(tp_sK35_SV29,type,
    sK35_SV29: ( $i > $i > $o ) > $i ).

thf(tp_sK36_SV30,type,
    sK36_SV30: ( $i > $i > $o ) > $i ).

thf(tp_sK37_SX0,type,
    sK37_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK38_SY44,type,
    sK38_SY44: ( $i > $i > $o ) > $i ).

thf(tp_sK39_SV31,type,
    sK39_SV31: ( $i > $i > $o ) > $i ).

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

thf(tp_sK40_SV32,type,
    sK40_SV32: ( $i > $i > $o ) > $i ).

thf(tp_sK41_SV33,type,
    sK41_SV33: ( $i > $i > $o ) > $i ).

thf(tp_sK42_SV34,type,
    sK42_SV34: ( $i > $i > $o ) > $i ).

thf(tp_sK43_SV35,type,
    sK43_SV35: ( $i > $i > $o ) > $i ).

thf(tp_sK44_SV36,type,
    sK44_SV36: ( $i > $i > $o ) > $i ).

thf(tp_sK45_SV37,type,
    sK45_SV37: ( $i > $i > $o ) > $i ).

thf(tp_sK46_SV38,type,
    sK46_SV38: ( $i > $i > $o ) > $i ).

thf(tp_sK47_SX0,type,
    sK47_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK48_SX0,type,
    sK48_SX0: $i > ( $i > $i > $o ) > $i ).

thf(tp_sK49_SX0,type,
    sK49_SX0: $i > ( $i > $i > $o ) > $i ).

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

thf(tp_sK50_SX0,type,
    sK50_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK51_SV39,type,
    sK51_SV39: ( $i > $i > $o ) > $i ).

thf(tp_sK52_SX0,type,
    sK52_SX0: ( $i > $i > $o ) > $i ).

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

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

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

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

thf(tp_sK57_SY54,type,
    sK57_SY54: ( $i > $i > $o ) > $i ).

thf(tp_sK58_SV40,type,
    sK58_SV40: ( $i > $i > $o ) > $i ).

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

thf(tp_sK5_SV7,type,
    sK5_SV7: ( $i > $i > $o ) > $i ).

thf(tp_sK60_SY56,type,
    sK60_SY56: ( $i > $i > $o ) > $i ).

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

thf(tp_sK62_SY57,type,
    sK62_SY57: ( $i > $i > $o ) > $i ).

thf(tp_sK63_SV41,type,
    sK63_SV41: ( $i > $i > $o ) > $i ).

thf(tp_sK64_SX0,type,
    sK64_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK65_SY59,type,
    sK65_SY59: ( $i > $i > $o ) > $i ).

thf(tp_sK66_SV42,type,
    sK66_SV42: ( $i > $i > $o ) > $i ).

thf(tp_sK67_SV43,type,
    sK67_SV43: ( $i > $i > $o ) > $i ).

thf(tp_sK68_SV44,type,
    sK68_SV44: ( $i > $i > $o ) > $i ).

thf(tp_sK69_SV45,type,
    sK69_SV45: ( $i > $i > $o ) > $i ).

thf(tp_sK6_SX0,type,
    sK6_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK70_SV46,type,
    sK70_SV46: ( $i > $i > $o ) > $i ).

thf(tp_sK71_SV47,type,
    sK71_SV47: ( $i > $i > $o ) > $i ).

thf(tp_sK72_SV48,type,
    sK72_SV48: ( $i > $i > $o ) > $i ).

thf(tp_sK73_SX0,type,
    sK73_SX0: $i > ( $i > $i > $o ) > $i ).

thf(tp_sK74_SX0,type,
    sK74_SX0: $i > ( $i > $i > $o ) > $i ).

thf(tp_sK75_SV49,type,
    sK75_SV49: ( $i > $i > $o ) > $i ).

thf(tp_sK76_SX0,type,
    sK76_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK77_SY69,type,
    sK77_SY69: ( $i > $i > $o ) > $i ).

thf(tp_sK78_SX0,type,
    sK78_SX0: $i > ( $i > $i > $o ) > $i ).

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

thf(tp_sK7_SV8,type,
    sK7_SV8: ( $i > $i > $o ) > $i ).

thf(tp_sK80_SV50,type,
    sK80_SV50: ( $i > $i > $o ) > $i ).

thf(tp_sK81_SX0,type,
    sK81_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK82_SY72,type,
    sK82_SY72: ( $i > $i > $o ) > $i ).

thf(tp_sK83_SX0,type,
    sK83_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK84_SY81,type,
    sK84_SY81: ( $i > $i > $o ) > $i ).

thf(tp_sK85_SY82,type,
    sK85_SY82: ( $i > $i > $o ) > $i > $i ).

thf(tp_sK86_SY83,type,
    sK86_SY83: ( $i > $i > $o ) > $i > $i ).

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

thf(tp_sK88_SX0,type,
    sK88_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK89_SY84,type,
    sK89_SY84: ( $i > $i > $o ) > $i ).

thf(tp_sK8_SX0,type,
    sK8_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK90_SX0,type,
    sK90_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK91_SY86,type,
    sK91_SY86: ( $i > $i > $o ) > $i ).

thf(tp_sK92_SY87,type,
    sK92_SY87: ( $i > $i > $o ) > $i > $i ).

thf(tp_sK93_SY88,type,
    sK93_SY88: ( $i > $i > $o ) > $i > $i ).

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

thf(tp_sK95_SX0,type,
    sK95_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK96_SY89,type,
    sK96_SY89: ( $i > $i > $o ) > $i ).

thf(tp_sK97_SY90,type,
    sK97_SY90: ( $i > $i > $o ) > $i ).

thf(tp_sK98_SY91,type,
    sK98_SY91: ( $i > $i > $o ) > $i ).

thf(tp_sK99_SY92,type,
    sK99_SY92: ( $i > $i > $o ) > $i ).

thf(tp_sK9_SV9,type,
    sK9_SV9: ( $i > $i > $o ) > $i ).

thf(1,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_008) ).

thf(2,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_007) ).

thf(3,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_006) ).

thf(4,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ? [X: $i,Y: $i] :
        ~ ( likes_THFTYPE_IiioI @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).

thf(5,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_004) ).

thf(6,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(7,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_002) ).

thf(8,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ? [X: $i,Y: $i] :
        ~ ( parent_THFTYPE_IiioI @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).

thf(9,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) ).

thf(10,conjecture,
    ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( R @ Y @ lBill_THFTYPE_i )
        & ( Q @ Y @ lAnna_THFTYPE_i )
        & ( R
         != ( ^ [Z: $i,W: $i] : $true ) )
        & ( Q
         != ( ^ [Z: $i,W: $i] : $true ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(11,negated_conjecture,
    ( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( R @ Y @ lBill_THFTYPE_i )
            & ( Q @ Y @ lAnna_THFTYPE_i )
            & ( R
             != ( ^ [Z: $i,W: $i] : $true ) )
            & ( Q
             != ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[10]) ).

thf(12,plain,
    ( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( R @ Y @ lBill_THFTYPE_i )
            & ( Q @ Y @ lAnna_THFTYPE_i )
            & ( R
             != ( ^ [Z: $i,W: $i] : $true ) )
            & ( Q
             != ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(13,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)],[1]) ).

thf(14,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)],[2]) ).

thf(15,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)],[3]) ).

thf(16,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ? [X: $i,Y: $i] :
          ~ ( likes_THFTYPE_IiioI @ X @ Y ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(17,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)],[5]) ).

thf(18,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)],[6]) ).

thf(19,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)],[7]) ).

thf(20,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ? [X: $i,Y: $i] :
          ~ ( parent_THFTYPE_IiioI @ X @ Y ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(21,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)],[9]) ).

thf(22,plain,
    ( ( ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
            ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ Y @ lBill_THFTYPE_i )
              & ( Q @ Y @ lAnna_THFTYPE_i )
              & ( R
               != ( ^ [Z: $i,W: $i] : $true ) )
              & ( Q
               != ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[12]) ).

thf(23,plain,
    ( ( ! [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ Y @ lBill_THFTYPE_i )
              & ( Q @ Y @ lAnna_THFTYPE_i )
              & ( R
               != ( ^ [Z: $i,W: $i] : $true ) )
              & ( Q
               != ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[22]) ).

thf(24,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[21]) ).

thf(25,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ? [X: $i,Y: $i] :
          ~ ( parent_THFTYPE_IiioI @ X @ Y ) )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(26,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(27,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[18]) ).

thf(28,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(29,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ? [X: $i,Y: $i] :
          ~ ( likes_THFTYPE_IiioI @ X @ Y ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(30,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(31,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(32,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(33,plain,
    ( ( ! [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ Y @ lBill_THFTYPE_i )
              & ( Q @ Y @ lAnna_THFTYPE_i )
              & ( R
               != ( ^ [Z: $i,W: $i] : $true ) )
              & ( Q
               != ( ^ [Z: $i,W: $i] : $true ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(34,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(35,plain,
    ( ( ! [SX0: $i > $i > $o,SX1: $i > $i > $o,SX2: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ~ ( ~ ( SX1 @ SX2 @ lBill_THFTYPE_i )
                            | ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) )
                      | ~ ( ( SX1
                           != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
                | ~ ( ( SX0
                     != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(36,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ! [SX0: $i] :
            ~ ~ ! [SX1: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(37,plain,
    ! [SV1: $i > $i > $o] :
      ( ( ! [SY11: $i > $i > $o,SY12: $i] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ~ ~ ( ~ ~ ( ~ ( SY11 @ SY12 @ lBill_THFTYPE_i )
                              | ~ ( SV1 @ SY12 @ lAnna_THFTYPE_i ) )
                        | ~ ( ( SY11
                             != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
                  | ~ ( ( SV1
                       != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[35]) ).

thf(38,plain,
    ! [SV1: $i > $i > $o,SV2: $i > $i > $o] :
      ( ( ! [SY17: $i] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV2 @ SY17 @ lBill_THFTYPE_i )
                              | ~ ( SV1 @ SY17 @ lAnna_THFTYPE_i ) )
                        | ~ ( ( SV2
                             != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
                  | ~ ( ( SV1
                       != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[37]) ).

thf(39,plain,
    ! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV2 @ SV3 @ lBill_THFTYPE_i )
                            | ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
                      | ~ ( ( SV2
                           != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
                | ~ ( ( SV1
                     != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(40,plain,
    ! [SV1: $i > $i > $o,SV3: $i,SV2: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV2 @ SV3 @ lBill_THFTYPE_i )
                        | ~ ( SV1 @ SV3 @ lAnna_THFTYPE_i ) )
                  | ~ ( ( SV2
                       != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) )
            | ~ ( ( SV1
                 != ( ^ [SX3: $i,SX4: $i] : $true ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[39]) ).

thf(41,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                        | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                  | ~ ( ( SV6
                       != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
            | ~ ( ( SV4
                 != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
      = $false ),
    inference(rename,[status(thm)],[40]) ).

thf(42,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
      = $false ),
    inference(res,[status(thm)],[41,36]) ).

thf(43,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) ) )
      = $false ),
    inference(res,[status(thm)],[41,34]) ).

thf(44,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[41,32]) ).

thf(45,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[41,31]) ).

thf(46,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[41,30]) ).

thf(47,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[41,28]) ).

thf(48,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[41,27]) ).

thf(49,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[41,26]) ).

thf(50,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[41,24]) ).

thf(51,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[50]) ).

thf(52,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[50]) ).

thf(53,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[49]) ).

thf(54,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[49]) ).

thf(55,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[48]) ).

thf(56,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[48]) ).

thf(57,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[47]) ).

thf(58,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[47]) ).

thf(59,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[46]) ).

thf(60,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[46]) ).

thf(61,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[45]) ).

thf(62,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[45]) ).

thf(63,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[44]) ).

thf(64,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[44]) ).

thf(65,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[43]) ).

thf(66,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[43]) ).

thf(67,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[43]) ).

thf(68,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[43]) ).

thf(69,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[42]) ).

thf(70,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[42]) ).

thf(71,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[42]) ).

thf(72,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                    | ~ ( ( SV6
                         != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
              | ~ ( ( SV4
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[42]) ).

thf(73,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[52]) ).

thf(74,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[51]) ).

thf(75,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[54]) ).

thf(76,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(77,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[56]) ).

thf(78,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(79,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[58]) ).

thf(80,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[57]) ).

thf(81,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[60]) ).

thf(82,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[59]) ).

thf(83,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[62]) ).

thf(84,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[61]) ).

thf(85,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[64]) ).

thf(86,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[63]) ).

thf(87,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[68]) ).

thf(88,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[67]) ).

thf(89,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(90,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(91,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[65]) ).

thf(92,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[72]) ).

thf(93,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
          | ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[71]) ).

thf(94,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[70]) ).

thf(95,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[70]) ).

thf(96,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[69]) ).

thf(97,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[73]) ).

thf(98,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[74]) ).

thf(99,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[74]) ).

thf(100,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[75]) ).

thf(101,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[76]) ).

thf(102,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[76]) ).

thf(103,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[77]) ).

thf(104,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[78]) ).

thf(105,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[78]) ).

thf(106,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[79]) ).

thf(107,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[80]) ).

thf(108,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[80]) ).

thf(109,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(110,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[82]) ).

thf(111,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[82]) ).

thf(112,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[83]) ).

thf(113,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[84]) ).

thf(114,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[84]) ).

thf(115,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[85]) ).

thf(116,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[86]) ).

thf(117,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[86]) ).

thf(118,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[87]) ).

thf(119,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[88]) ).

thf(120,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[88]) ).

thf(121,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[89]) ).

thf(122,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[90]) ).

thf(123,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[91]) ).

thf(124,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(125,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                      | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
                | ~ ( ( SV6
                     != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[93]) ).

thf(126,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[93]) ).

thf(127,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[94]) ).

thf(128,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[95]) ).

thf(129,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[96]) ).

thf(130,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[97]) ).

thf(131,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[98]) ).

thf(132,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[99]) ).

thf(133,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[100]) ).

thf(134,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[101]) ).

thf(135,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[102]) ).

thf(136,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(137,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[104]) ).

thf(138,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[105]) ).

thf(139,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[106]) ).

thf(140,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[107]) ).

thf(141,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[108]) ).

thf(142,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[109]) ).

thf(143,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[110]) ).

thf(144,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[111]) ).

thf(145,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[112]) ).

thf(146,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[113]) ).

thf(147,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[114]) ).

thf(148,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[115]) ).

thf(149,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[116]) ).

thf(150,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[117]) ).

thf(151,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[118]) ).

thf(152,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[119]) ).

thf(153,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[120]) ).

thf(154,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[121]) ).

thf(155,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[122]) ).

thf(156,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[123]) ).

thf(157,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[124]) ).

thf(158,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                    | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
              | ~ ( ( SV6
                   != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[125]) ).

thf(159,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[126]) ).

thf(160,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[127]) ).

thf(161,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[128]) ).

thf(162,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[129]) ).

thf(163,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[130]) ).

thf(164,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[131]) ).

thf(165,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[132]) ).

thf(166,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[133]) ).

thf(167,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[134]) ).

thf(168,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[135]) ).

thf(169,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[136]) ).

thf(170,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[137]) ).

thf(171,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[138]) ).

thf(172,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[139]) ).

thf(173,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[140]) ).

thf(174,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[141]) ).

thf(175,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[142]) ).

thf(176,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[143]) ).

thf(177,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[144]) ).

thf(178,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[145]) ).

thf(179,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[146]) ).

thf(180,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[147]) ).

thf(181,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[148]) ).

thf(182,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[149]) ).

thf(183,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[150]) ).

thf(184,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[151]) ).

thf(185,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[152]) ).

thf(186,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[153]) ).

thf(187,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[154]) ).

thf(188,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[154]) ).

thf(189,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV7: $i] :
              ( ( SV4 @ SV7 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[155]) ).

thf(190,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[155]) ).

thf(191,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[156]) ).

thf(192,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[157]) ).

thf(193,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
          | ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[158]) ).

thf(194,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[159]) ).

thf(195,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[160]) ).

thf(196,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[160]) ).

thf(197,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV8: $i] :
              ( ( SV4 @ SV8 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[161]) ).

thf(198,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[161]) ).

thf(199,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[162]) ).

thf(200,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[163]) ).

thf(201,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[164]) ).

thf(202,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[164]) ).

thf(203,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV9: $i] :
              ( ( SV4 @ SV9 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[165]) ).

thf(204,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[165]) ).

thf(205,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[166]) ).

thf(206,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[167]) ).

thf(207,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[167]) ).

thf(208,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV10: $i] :
              ( ( SV4 @ SV10 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[168]) ).

thf(209,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[168]) ).

thf(210,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[169]) ).

thf(211,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[170]) ).

thf(212,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[170]) ).

thf(213,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV11: $i] :
              ( ( SV4 @ SV11 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[171]) ).

thf(214,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[171]) ).

thf(215,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[172]) ).

thf(216,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[173]) ).

thf(217,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[173]) ).

thf(218,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV12: $i] :
              ( ( SV4 @ SV12 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[174]) ).

thf(219,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[174]) ).

thf(220,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[175]) ).

thf(221,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[176]) ).

thf(222,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[176]) ).

thf(223,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV13: $i] :
              ( ( SV4 @ SV13 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[177]) ).

thf(224,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[177]) ).

thf(225,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[178]) ).

thf(226,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[179]) ).

thf(227,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[179]) ).

thf(228,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV14: $i] :
              ( ( SV4 @ SV14 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[180]) ).

thf(229,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[180]) ).

thf(230,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[181]) ).

thf(231,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[182]) ).

thf(232,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[182]) ).

thf(233,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV15: $i] :
              ( ( SV4 @ SV15 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[183]) ).

thf(234,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[183]) ).

thf(235,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[184]) ).

thf(236,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[185]) ).

thf(237,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[185]) ).

thf(238,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV16: $i] :
              ( ( SV4 @ SV16 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[186]) ).

thf(239,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[186]) ).

thf(240,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[187]) ).

thf(241,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[188]) ).

thf(242,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[189]) ).

thf(243,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY41: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK6_SX0 @ SV4 ) @ SY41 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[190]) ).

thf(244,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[191]) ).

thf(245,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[192]) ).

thf(246,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
                | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[193]) ).

thf(247,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[193]) ).

thf(248,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV17: $i] :
              ( ( SV4 @ SV17 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[194]) ).

thf(249,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[194]) ).

thf(250,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[195]) ).

thf(251,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[196]) ).

thf(252,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[197]) ).

thf(253,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY44: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK8_SX0 @ SV4 ) @ SY44 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[198]) ).

thf(254,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[199]) ).

thf(255,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[200]) ).

thf(256,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[201]) ).

thf(257,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[202]) ).

thf(258,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK9_SV9 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[203]) ).

thf(259,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[205]) ).

thf(260,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[206]) ).

thf(261,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[207]) ).

thf(262,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK10_SV10 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[208]) ).

thf(263,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[210]) ).

thf(264,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[211]) ).

thf(265,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[212]) ).

thf(266,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK11_SV11 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[213]) ).

thf(267,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[215]) ).

thf(268,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[216]) ).

thf(269,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[217]) ).

thf(270,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK12_SV12 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[218]) ).

thf(271,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[220]) ).

thf(272,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[221]) ).

thf(273,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[222]) ).

thf(274,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK13_SV13 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[223]) ).

thf(275,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[225]) ).

thf(276,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[226]) ).

thf(277,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[227]) ).

thf(278,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK14_SV14 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[228]) ).

thf(279,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[230]) ).

thf(280,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[231]) ).

thf(281,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[232]) ).

thf(282,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK15_SV15 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[233]) ).

thf(283,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[235]) ).

thf(284,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[236]) ).

thf(285,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[237]) ).

thf(286,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[238]) ).

thf(287,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[239]) ).

thf(288,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[240]) ).

thf(289,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[241]) ).

thf(290,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV18: $i] :
              ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ SV18 )
              = $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[242]) ).

thf(291,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[242]) ).

thf(292,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY41: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK6_SX0 @ SV4 ) @ SY41 ) )
        = $true )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[243]) ).

thf(293,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[244]) ).

thf(294,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[245]) ).

thf(295,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
              | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[246]) ).

thf(296,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[247]) ).

thf(297,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[248]) ).

thf(298,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[249]) ).

thf(299,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[250]) ).

thf(300,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[251]) ).

thf(301,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV19: $i] :
              ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ SV19 )
              = $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[252]) ).

thf(302,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[252]) ).

thf(303,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY44: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK8_SX0 @ SV4 ) @ SY44 ) )
        = $true )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[253]) ).

thf(304,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[254]) ).

thf(305,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[255]) ).

thf(306,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[256]) ).

thf(307,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[257]) ).

thf(308,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV20: $i] :
              ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ SV20 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[258]) ).

thf(309,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK9_SV9 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[258]) ).

thf(310,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[259]) ).

thf(311,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[260]) ).

thf(312,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[261]) ).

thf(313,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV21: $i] :
              ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ SV21 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[262]) ).

thf(314,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK10_SV10 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[262]) ).

thf(315,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[263]) ).

thf(316,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[264]) ).

thf(317,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[265]) ).

thf(318,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV22: $i] :
              ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ SV22 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[266]) ).

thf(319,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK11_SV11 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[266]) ).

thf(320,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[267]) ).

thf(321,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[268]) ).

thf(322,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[269]) ).

thf(323,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV23: $i] :
              ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ SV23 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[270]) ).

thf(324,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK12_SV12 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[270]) ).

thf(325,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[271]) ).

thf(326,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[272]) ).

thf(327,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[273]) ).

thf(328,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV24: $i] :
              ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ SV24 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[274]) ).

thf(329,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK13_SV13 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[274]) ).

thf(330,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[275]) ).

thf(331,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[276]) ).

thf(332,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[277]) ).

thf(333,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV25: $i] :
              ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ SV25 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[278]) ).

thf(334,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK14_SV14 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[278]) ).

thf(335,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[279]) ).

thf(336,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[280]) ).

thf(337,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[281]) ).

thf(338,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV26: $i] :
              ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ SV26 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[282]) ).

thf(339,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK15_SV15 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[282]) ).

thf(340,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[283]) ).

thf(341,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[284]) ).

thf(342,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[285]) ).

thf(343,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV27: $i] :
              ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ SV27 )
              = $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[286]) ).

thf(344,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[286]) ).

thf(345,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY54: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK18_SX0 @ SV4 ) @ SY54 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[287]) ).

thf(346,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[288]) ).

thf(347,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[288]) ).

thf(348,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV28: $i] :
              ( ( SV6 @ SV28 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[289]) ).

thf(349,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[289]) ).

thf(350,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[290]) ).

thf(351,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY56: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK20_SX0 @ SV4 ) @ SY56 ) )
        = $false )
      | ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[291]) ).

thf(352,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY41: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK6_SX0 @ SV4 ) @ SY41 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[292]) ).

thf(353,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[293]) ).

thf(354,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[294]) ).

thf(355,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i )
          | ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[295]) ).

thf(356,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[296]) ).

thf(357,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SV29: $i] :
              ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ SV29 )
              = $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[297]) ).

thf(358,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[297]) ).

thf(359,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY57: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK21_SX0 @ SV4 ) @ SY57 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[298]) ).

thf(360,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[299]) ).

thf(361,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[299]) ).

thf(362,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV30: $i] :
              ( ( SV6 @ SV30 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[300]) ).

thf(363,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[300]) ).

thf(364,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[301]) ).

thf(365,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY59: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK23_SX0 @ SV4 ) @ SY59 ) )
        = $false )
      | ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[302]) ).

thf(366,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY44: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK8_SX0 @ SV4 ) @ SY44 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[303]) ).

thf(367,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[304]) ).

thf(368,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[305]) ).

thf(369,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[306]) ).

thf(370,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[306]) ).

thf(371,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV31: $i] :
              ( ( SV6 @ SV31 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[307]) ).

thf(372,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[307]) ).

thf(373,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[308]) ).

thf(374,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[310]) ).

thf(375,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[311]) ).

thf(376,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[311]) ).

thf(377,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV32: $i] :
              ( ( SV6 @ SV32 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[312]) ).

thf(378,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[312]) ).

thf(379,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[313]) ).

thf(380,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[315]) ).

thf(381,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[316]) ).

thf(382,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[316]) ).

thf(383,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV33: $i] :
              ( ( SV6 @ SV33 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[317]) ).

thf(384,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[317]) ).

thf(385,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[318]) ).

thf(386,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[320]) ).

thf(387,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[321]) ).

thf(388,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[321]) ).

thf(389,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV34: $i] :
              ( ( SV6 @ SV34 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[322]) ).

thf(390,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[322]) ).

thf(391,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[323]) ).

thf(392,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[325]) ).

thf(393,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[326]) ).

thf(394,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[326]) ).

thf(395,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV35: $i] :
              ( ( SV6 @ SV35 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[327]) ).

thf(396,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[327]) ).

thf(397,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[328]) ).

thf(398,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[330]) ).

thf(399,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[331]) ).

thf(400,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[331]) ).

thf(401,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV36: $i] :
              ( ( SV6 @ SV36 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[332]) ).

thf(402,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[332]) ).

thf(403,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[333]) ).

thf(404,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[335]) ).

thf(405,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[336]) ).

thf(406,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[336]) ).

thf(407,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV37: $i] :
              ( ( SV6 @ SV37 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[337]) ).

thf(408,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[337]) ).

thf(409,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[338]) ).

thf(410,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[340]) ).

thf(411,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[341]) ).

thf(412,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[341]) ).

thf(413,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV38: $i] :
              ( ( SV6 @ SV38 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[342]) ).

thf(414,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[342]) ).

thf(415,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[343]) ).

thf(416,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[344]) ).

thf(417,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY54: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK18_SX0 @ SV4 ) @ SY54 ) )
        = $true )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[345]) ).

thf(418,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[346]) ).

thf(419,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[347]) ).

thf(420,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[348]) ).

thf(421,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY69: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK33_SX0 @ SV6 ) @ SY69 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[349]) ).

thf(422,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
              | $true )
          | ~ ( ~ ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[350]) ).

thf(423,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[350]) ).

thf(424,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY56: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK20_SX0 @ SV4 ) @ SY56 ) )
        = $true )
      | ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[351]) ).

thf(425,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK6_SX0 @ SV4 ) @ ( sK34_SY41 @ SV4 ) ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[352]) ).

thf(426,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[353]) ).

thf(427,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[354]) ).

thf(428,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV5 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[355]) ).

thf(429,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[355]) ).

thf(430,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV39: $i] :
              ( ( SV6 @ SV39 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[356]) ).

thf(431,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[356]) ).

thf(432,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[357]) ).

thf(433,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[358]) ).

thf(434,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY57: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK21_SX0 @ SV4 ) @ SY57 ) )
        = $true )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[359]) ).

thf(435,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[360]) ).

thf(436,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[361]) ).

thf(437,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[362]) ).

thf(438,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY72: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK37_SX0 @ SV6 ) @ SY72 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[363]) ).

thf(439,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
              | $true )
          | ~ ( ~ ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[364]) ).

thf(440,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[364]) ).

thf(441,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY59: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK23_SX0 @ SV4 ) @ SY59 ) )
        = $true )
      | ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[365]) ).

thf(442,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK8_SX0 @ SV4 ) @ ( sK38_SY44 @ SV4 ) ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[366]) ).

thf(443,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[367]) ).

thf(444,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[368]) ).

thf(445,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[369]) ).

thf(446,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[370]) ).

thf(447,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK39_SV31 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[371]) ).

thf(448,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
              | $true )
          | ~ ( ~ ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[373]) ).

thf(449,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[373]) ).

thf(450,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[374]) ).

thf(451,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[375]) ).

thf(452,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[376]) ).

thf(453,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK40_SV32 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[377]) ).

thf(454,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
              | $true )
          | ~ ( ~ ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[379]) ).

thf(455,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[379]) ).

thf(456,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[380]) ).

thf(457,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[381]) ).

thf(458,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[382]) ).

thf(459,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK41_SV33 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[383]) ).

thf(460,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
              | $true )
          | ~ ( ~ ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[385]) ).

thf(461,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[385]) ).

thf(462,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[386]) ).

thf(463,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[387]) ).

thf(464,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[388]) ).

thf(465,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK42_SV34 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[389]) ).

thf(466,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
              | $true )
          | ~ ( ~ ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[391]) ).

thf(467,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[391]) ).

thf(468,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(469,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[393]) ).

thf(470,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[394]) ).

thf(471,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK43_SV35 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[395]) ).

thf(472,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
              | $true )
          | ~ ( ~ ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[397]) ).

thf(473,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[397]) ).

thf(474,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[398]) ).

thf(475,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[399]) ).

thf(476,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[400]) ).

thf(477,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK44_SV36 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[401]) ).

thf(478,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
              | $true )
          | ~ ( ~ ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[403]) ).

thf(479,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[403]) ).

thf(480,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[404]) ).

thf(481,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[405]) ).

thf(482,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[406]) ).

thf(483,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK45_SV37 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[407]) ).

thf(484,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
              | $true )
          | ~ ( ~ ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[409]) ).

thf(485,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[409]) ).

thf(486,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[410]) ).

thf(487,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[411]) ).

thf(488,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[412]) ).

thf(489,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[413]) ).

thf(490,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[414]) ).

thf(491,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
              | $true )
          | ~ ( ~ ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[415]) ).

thf(492,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[415]) ).

thf(493,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY81: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK47_SX0 @ SV4 ) @ SY81 ) )
        = $false )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[416]) ).

thf(494,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY54: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK18_SX0 @ SV4 ) @ SY54 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[417]) ).

thf(495,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ! [SY82: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK48_SX0 @ SV5 @ SV6 ) @ SY82 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[418]) ).

thf(496,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ! [SY83: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK49_SX0 @ SV5 @ SV4 ) @ SY83 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[419]) ).

thf(497,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV40: $i] :
              ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ SV40 )
              = $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[420]) ).

thf(498,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[420]) ).

thf(499,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY69: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK33_SX0 @ SV6 ) @ SY69 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[421]) ).

thf(501,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[422]) ).

thf(502,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY84: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK50_SX0 @ SV4 ) @ SY84 ) )
        = $false )
      | ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[423]) ).

thf(503,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY56: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK20_SX0 @ SV4 ) @ SY56 ) )
        = $false )
      | ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[424]) ).

thf(504,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK6_SX0 @ SV4 ) @ ( sK34_SY41 @ SV4 ) ) )
        = $true )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[425]) ).

thf(505,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[426]) ).

thf(506,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV4 @ SV5 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[427]) ).

thf(507,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[428]) ).

thf(508,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[429]) ).

thf(509,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[430]) ).

thf(510,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[431]) ).

thf(511,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
              | $true )
          | ~ ( ~ ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[432]) ).

thf(512,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[432]) ).

thf(513,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY86: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK52_SX0 @ SV4 ) @ SY86 ) )
        = $false )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[433]) ).

thf(514,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY57: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK21_SX0 @ SV4 ) @ SY57 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[434]) ).

thf(515,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ! [SY87: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK53_SX0 @ SV5 @ SV6 ) @ SY87 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[435]) ).

thf(516,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ! [SY88: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK54_SX0 @ SV5 @ SV4 ) @ SY88 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[436]) ).

thf(517,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV41: $i] :
              ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ SV41 )
              = $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[437]) ).

thf(518,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[437]) ).

thf(519,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY72: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK37_SX0 @ SV6 ) @ SY72 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[438]) ).

thf(521,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[439]) ).

thf(522,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY89: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK55_SX0 @ SV4 ) @ SY89 ) )
        = $false )
      | ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[440]) ).

thf(523,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY59: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK23_SX0 @ SV4 ) @ SY59 ) )
        = $false )
      | ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[441]) ).

thf(524,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK8_SX0 @ SV4 ) @ ( sK38_SY44 @ SV4 ) ) )
        = $true )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[442]) ).

thf(525,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[443]) ).

thf(526,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[444]) ).

thf(527,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV42: $i] :
              ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ SV42 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[447]) ).

thf(528,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK39_SV31 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[447]) ).

thf(530,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[448]) ).

thf(531,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(532,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV43: $i] :
              ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ SV43 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[453]) ).

thf(533,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK40_SV32 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[453]) ).

thf(535,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[454]) ).

thf(536,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[456]) ).

thf(537,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV44: $i] :
              ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ SV44 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[459]) ).

thf(538,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK41_SV33 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[459]) ).

thf(540,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[460]) ).

thf(541,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[462]) ).

thf(542,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV45: $i] :
              ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ SV45 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[465]) ).

thf(543,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK42_SV34 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[465]) ).

thf(545,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[466]) ).

thf(546,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[468]) ).

thf(547,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV46: $i] :
              ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ SV46 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[471]) ).

thf(548,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK43_SV35 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[471]) ).

thf(550,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[472]) ).

thf(551,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[474]) ).

thf(552,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV47: $i] :
              ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ SV47 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[477]) ).

thf(553,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK44_SV36 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[477]) ).

thf(555,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[478]) ).

thf(556,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[480]) ).

thf(557,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV48: $i] :
              ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ SV48 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[483]) ).

thf(558,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK45_SV37 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[483]) ).

thf(560,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[484]) ).

thf(561,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[486]) ).

thf(562,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[487]) ).

thf(563,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[488]) ).

thf(564,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV49: $i] :
              ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ SV49 )
              = $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[489]) ).

thf(565,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[489]) ).

thf(566,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY90: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK56_SX0 @ SV6 ) @ SY90 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[490]) ).

thf(568,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[491]) ).

thf(569,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[492]) ).

thf(570,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY81: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK47_SX0 @ SV4 ) @ SY81 ) )
        = $true )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[493]) ).

thf(571,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK18_SX0 @ SV4 ) @ ( sK57_SY54 @ SV4 ) ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[494]) ).

thf(572,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ! [SY82: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK48_SX0 @ SV5 @ SV6 ) @ SY82 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[495]) ).

thf(573,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ! [SY83: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK49_SX0 @ SV5 @ SV4 ) @ SY83 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[496]) ).

thf(574,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[497]) ).

thf(575,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY91: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK59_SX0 @ SV6 ) @ SY91 ) )
        = $false )
      | ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[498]) ).

thf(576,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY69: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK33_SX0 @ SV6 ) @ SY69 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[499]) ).

thf(578,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
          | ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[501]) ).

thf(579,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY84: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK50_SX0 @ SV4 ) @ SY84 ) )
        = $true )
      | ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[502]) ).

thf(580,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK20_SX0 @ SV4 ) @ ( sK60_SY56 @ SV4 ) ) )
        = $false )
      | ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[503]) ).

thf(581,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK6_SX0 @ SV4 ) @ ( sK34_SY41 @ SV4 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[504]) ).

thf(582,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[505]) ).

thf(583,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV6
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[506]) ).

thf(584,plain,
    ! [SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[507]) ).

thf(585,plain,
    ! [SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[508]) ).

thf(586,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SV50: $i] :
              ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ SV50 )
              = $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[509]) ).

thf(587,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[509]) ).

thf(588,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY92: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK61_SX0 @ SV6 ) @ SY92 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[510]) ).

thf(590,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[511]) ).

thf(591,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[512]) ).

thf(592,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY86: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK52_SX0 @ SV4 ) @ SY86 ) )
        = $true )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[513]) ).

thf(593,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK21_SX0 @ SV4 ) @ ( sK62_SY57 @ SV4 ) ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[514]) ).

thf(594,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ! [SY87: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK53_SX0 @ SV5 @ SV6 ) @ SY87 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[515]) ).

thf(595,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ! [SY88: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK54_SX0 @ SV5 @ SV4 ) @ SY88 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[516]) ).

thf(596,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[517]) ).

thf(597,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY93: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK64_SX0 @ SV6 ) @ SY93 ) )
        = $false )
      | ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[518]) ).

thf(598,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY72: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK37_SX0 @ SV6 ) @ SY72 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[519]) ).

thf(600,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
          | ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[521]) ).

thf(601,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY89: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK55_SX0 @ SV4 ) @ SY89 ) )
        = $true )
      | ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[522]) ).

thf(602,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK23_SX0 @ SV4 ) @ ( sK65_SY59 @ SV4 ) ) )
        = $false )
      | ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[523]) ).

thf(603,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK8_SX0 @ SV4 ) @ ( sK38_SY44 @ SV4 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[524]) ).

thf(604,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[525]) ).

thf(605,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[526]) ).

thf(606,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[527]) ).

thf(608,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[530]) ).

thf(609,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[531]) ).

thf(610,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[532]) ).

thf(612,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[535]) ).

thf(613,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[536]) ).

thf(614,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[537]) ).

thf(616,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[540]) ).

thf(617,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[541]) ).

thf(618,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[542]) ).

thf(620,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[545]) ).

thf(621,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[546]) ).

thf(622,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[547]) ).

thf(624,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[550]) ).

thf(625,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[551]) ).

thf(626,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[552]) ).

thf(628,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[555]) ).

thf(629,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[556]) ).

thf(630,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[557]) ).

thf(632,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[560]) ).

thf(633,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[561]) ).

thf(634,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ! [SY94: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK73_SX0 @ SV5 @ SV6 ) @ SY94 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[562]) ).

thf(635,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ! [SY95: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK74_SX0 @ SV5 @ SV4 ) @ SY95 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[563]) ).

thf(636,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[564]) ).

thf(637,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[565]) ).

thf(638,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY90: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK56_SX0 @ SV6 ) @ SY90 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[566]) ).

thf(640,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
          | ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[568]) ).

thf(641,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY96: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK76_SX0 @ SV4 ) @ SY96 ) )
        = $false )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[569]) ).

thf(642,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY81: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK47_SX0 @ SV4 ) @ SY81 ) )
        = $false )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(643,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK18_SX0 @ SV4 ) @ ( sK57_SY54 @ SV4 ) ) )
        = $true )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[571]) ).

thf(644,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ! [SY82: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK48_SX0 @ SV5 @ SV6 ) @ SY82 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[572]) ).

thf(645,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ! [SY83: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK49_SX0 @ SV5 @ SV4 ) @ SY83 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[573]) ).

thf(646,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
              | $true )
          | ~ ( ~ ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[574]) ).

thf(647,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[574]) ).

thf(648,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY91: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK59_SX0 @ SV6 ) @ SY91 ) )
        = $true )
      | ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[575]) ).

thf(649,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK33_SX0 @ SV6 ) @ ( sK77_SY69 @ SV6 ) ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[576]) ).

thf(651,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[578]) ).

thf(652,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY84: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK50_SX0 @ SV4 ) @ SY84 ) )
        = $false )
      | ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[579]) ).

thf(653,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK20_SX0 @ SV4 ) @ ( sK60_SY56 @ SV4 ) ) )
        = $true )
      | ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[580]) ).

thf(654,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[582]) ).

thf(655,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[583]) ).

thf(656,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ! [SY97: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK78_SX0 @ SV5 @ SV6 ) @ SY97 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[584]) ).

thf(657,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ! [SY98: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK79_SX0 @ SV5 @ SV4 ) @ SY98 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[585]) ).

thf(658,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[586]) ).

thf(659,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[587]) ).

thf(660,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY92: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK61_SX0 @ SV6 ) @ SY92 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[588]) ).

thf(662,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
          | ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[590]) ).

thf(663,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY99: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK81_SX0 @ SV4 ) @ SY99 ) )
        = $false )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[591]) ).

thf(664,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY86: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK52_SX0 @ SV4 ) @ SY86 ) )
        = $false )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[592]) ).

thf(665,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK21_SX0 @ SV4 ) @ ( sK62_SY57 @ SV4 ) ) )
        = $true )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[593]) ).

thf(666,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ! [SY87: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK53_SX0 @ SV5 @ SV6 ) @ SY87 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[594]) ).

thf(667,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ! [SY88: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK54_SX0 @ SV5 @ SV4 ) @ SY88 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[595]) ).

thf(668,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
              | $true )
          | ~ ( ~ ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[596]) ).

thf(669,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
          = $true )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[596]) ).

thf(670,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY93: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK64_SX0 @ SV6 ) @ SY93 ) )
        = $true )
      | ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[597]) ).

thf(671,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK37_SX0 @ SV6 ) @ ( sK82_SY72 @ SV6 ) ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[598]) ).

thf(673,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[600]) ).

thf(674,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY89: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK55_SX0 @ SV4 ) @ SY89 ) )
        = $false )
      | ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[601]) ).

thf(675,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK23_SX0 @ SV4 ) @ ( sK65_SY59 @ SV4 ) ) )
        = $true )
      | ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[602]) ).

thf(676,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[604]) ).

thf(677,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[605]) ).

thf(678,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
              | $true )
          | ~ ( ~ ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[606]) ).

thf(679,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[606]) ).

thf(681,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[608]) ).

thf(682,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[609]) ).

thf(683,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
              | $true )
          | ~ ( ~ ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[610]) ).

thf(684,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[610]) ).

thf(686,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[612]) ).

thf(687,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[613]) ).

thf(688,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
              | $true )
          | ~ ( ~ ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[614]) ).

thf(689,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[614]) ).

thf(691,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[616]) ).

thf(692,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[617]) ).

thf(693,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
              | $true )
          | ~ ( ~ ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[618]) ).

thf(694,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[618]) ).

thf(696,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[620]) ).

thf(697,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[621]) ).

thf(698,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
              | $true )
          | ~ ( ~ ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[622]) ).

thf(699,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[622]) ).

thf(701,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[624]) ).

thf(702,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[625]) ).

thf(703,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
              | $true )
          | ~ ( ~ ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[626]) ).

thf(704,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[626]) ).

thf(706,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[628]) ).

thf(707,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[629]) ).

thf(708,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
              | $true )
          | ~ ( ~ ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[630]) ).

thf(709,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[630]) ).

thf(711,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[632]) ).

thf(712,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[633]) ).

thf(713,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ! [SY94: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK73_SX0 @ SV5 @ SV6 ) @ SY94 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[634]) ).

thf(714,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ! [SY95: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK74_SX0 @ SV5 @ SV4 ) @ SY95 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[635]) ).

thf(715,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
              | $true )
          | ~ ( ~ ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[636]) ).

thf(716,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[636]) ).

thf(717,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY100: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK83_SX0 @ SV6 ) @ SY100 ) )
        = $false )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[637]) ).

thf(718,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY90: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK56_SX0 @ SV6 ) @ SY90 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[638]) ).

thf(720,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[640]) ).

thf(721,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY96: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK76_SX0 @ SV4 ) @ SY96 ) )
        = $true )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[641]) ).

thf(722,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK47_SX0 @ SV4 ) @ ( sK84_SY81 @ SV4 ) ) )
        = $false )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[642]) ).

thf(723,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK18_SX0 @ SV4 ) @ ( sK57_SY54 @ SV4 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[643]) ).

thf(724,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK48_SX0 @ SV5 @ SV6 ) @ ( sK85_SY82 @ SV6 @ SV5 ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[644]) ).

thf(725,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK49_SX0 @ SV5 @ SV4 ) @ ( sK86_SY83 @ SV4 @ SV5 ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[645]) ).

thf(727,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[646]) ).

thf(728,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY101: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK87_SX0 @ SV6 ) @ SY101 ) )
        = $false )
      | ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[647]) ).

thf(729,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY91: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK59_SX0 @ SV6 ) @ SY91 ) )
        = $false )
      | ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[648]) ).

thf(730,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK33_SX0 @ SV6 ) @ ( sK77_SY69 @ SV6 ) ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[649]) ).

thf(732,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[651]) ).

thf(733,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK50_SX0 @ SV4 ) @ ( sK89_SY84 @ SV4 ) ) )
        = $false )
      | ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[652]) ).

thf(734,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK20_SX0 @ SV4 ) @ ( sK60_SY56 @ SV4 ) )
        = $false )
      | ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[653]) ).

thf(735,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV51: $i] :
              ( ( SV6 @ SV51 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[654]) ).

thf(736,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[654]) ).

thf(737,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[655]) ).

thf(738,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ! [SY97: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK78_SX0 @ SV5 @ SV6 ) @ SY97 ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[656]) ).

thf(739,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ! [SY98: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK79_SX0 @ SV5 @ SV4 ) @ SY98 ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[657]) ).

thf(740,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
              | $true )
          | ~ ( ~ ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[658]) ).

thf(741,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
          = $true )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[658]) ).

thf(742,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY104: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK90_SX0 @ SV6 ) @ SY104 ) )
        = $false )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[659]) ).

thf(743,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY92: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK61_SX0 @ SV6 ) @ SY92 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[660]) ).

thf(745,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[662]) ).

thf(746,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY99: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK81_SX0 @ SV4 ) @ SY99 ) )
        = $true )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[663]) ).

thf(747,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK52_SX0 @ SV4 ) @ ( sK91_SY86 @ SV4 ) ) )
        = $false )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[664]) ).

thf(748,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK21_SX0 @ SV4 ) @ ( sK62_SY57 @ SV4 ) )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[665]) ).

thf(749,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK53_SX0 @ SV5 @ SV6 ) @ ( sK92_SY87 @ SV6 @ SV5 ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[666]) ).

thf(750,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK54_SX0 @ SV5 @ SV4 ) @ ( sK93_SY88 @ SV4 @ SV5 ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[667]) ).

thf(752,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[668]) ).

thf(753,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY105: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK94_SX0 @ SV6 ) @ SY105 ) )
        = $false )
      | ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[669]) ).

thf(754,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY93: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK64_SX0 @ SV6 ) @ SY93 ) )
        = $false )
      | ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[670]) ).

thf(755,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK37_SX0 @ SV6 ) @ ( sK82_SY72 @ SV6 ) ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[671]) ).

thf(757,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[673]) ).

thf(758,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK55_SX0 @ SV4 ) @ ( sK96_SY89 @ SV4 ) ) )
        = $false )
      | ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[674]) ).

thf(759,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK23_SX0 @ SV4 ) @ ( sK65_SY59 @ SV4 ) )
        = $false )
      | ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[675]) ).

thf(760,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV52: $i] :
              ( ( SV6 @ SV52 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[676]) ).

thf(761,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[676]) ).

thf(762,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV53: $i] :
              ( ( SV6 @ SV53 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[677]) ).

thf(763,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[677]) ).

thf(765,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[678]) ).

thf(766,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[681]) ).

thf(767,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV54: $i] :
              ( ( SV6 @ SV54 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[682]) ).

thf(768,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[682]) ).

thf(770,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[683]) ).

thf(771,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[686]) ).

thf(772,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV55: $i] :
              ( ( SV6 @ SV55 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[687]) ).

thf(773,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[687]) ).

thf(775,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[688]) ).

thf(776,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[691]) ).

thf(777,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV56: $i] :
              ( ( SV6 @ SV56 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[692]) ).

thf(778,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[692]) ).

thf(780,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[693]) ).

thf(781,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[696]) ).

thf(782,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV57: $i] :
              ( ( SV6 @ SV57 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[697]) ).

thf(783,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[697]) ).

thf(785,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[698]) ).

thf(786,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[701]) ).

thf(787,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV58: $i] :
              ( ( SV6 @ SV58 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[702]) ).

thf(788,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[702]) ).

thf(790,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[703]) ).

thf(791,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[706]) ).

thf(792,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV59: $i] :
              ( ( SV6 @ SV59 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[707]) ).

thf(793,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[707]) ).

thf(795,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[708]) ).

thf(796,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[711]) ).

thf(797,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV60: $i] :
              ( ( SV6 @ SV60 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[712]) ).

thf(798,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[712]) ).

thf(799,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ! [SY94: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK73_SX0 @ SV5 @ SV6 ) @ SY94 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[713]) ).

thf(800,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ! [SY95: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK74_SX0 @ SV5 @ SV4 ) @ SY95 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[714]) ).

thf(802,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[715]) ).

thf(803,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[716]) ).

thf(804,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY100: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK83_SX0 @ SV6 ) @ SY100 ) )
        = $true )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[717]) ).

thf(805,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK56_SX0 @ SV6 ) @ ( sK97_SY90 @ SV6 ) ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[718]) ).

thf(807,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[720]) ).

thf(808,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY96: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK76_SX0 @ SV4 ) @ SY96 ) )
        = $false )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[721]) ).

thf(809,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK47_SX0 @ SV4 ) @ ( sK84_SY81 @ SV4 ) ) )
        = $true )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[722]) ).

thf(810,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK48_SX0 @ SV5 @ SV6 ) @ ( sK85_SY82 @ SV6 @ SV5 ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[724]) ).

thf(811,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK49_SX0 @ SV5 @ SV4 ) @ ( sK86_SY83 @ SV4 @ SV5 ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[725]) ).

thf(813,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[727]) ).

thf(814,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY101: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK87_SX0 @ SV6 ) @ SY101 ) )
        = $true )
      | ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[728]) ).

thf(815,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK59_SX0 @ SV6 ) @ ( sK98_SY91 @ SV6 ) ) )
        = $false )
      | ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[729]) ).

thf(816,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK33_SX0 @ SV6 ) @ ( sK77_SY69 @ SV6 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[730]) ).

thf(818,plain,
    ! [SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[732]) ).

thf(819,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK50_SX0 @ SV4 ) @ ( sK89_SY84 @ SV4 ) ) )
        = $true )
      | ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[733]) ).

thf(820,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[735]) ).

thf(821,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[736]) ).

thf(822,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV62: $i] :
              ( ( SV6 @ SV62 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[737]) ).

thf(823,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[737]) ).

thf(824,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ! [SY97: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK78_SX0 @ SV5 @ SV6 ) @ SY97 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[738]) ).

thf(825,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ! [SY98: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK79_SX0 @ SV5 @ SV4 ) @ SY98 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[739]) ).

thf(827,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[740]) ).

thf(828,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[741]) ).

thf(829,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY104: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK90_SX0 @ SV6 ) @ SY104 ) )
        = $true )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[742]) ).

thf(830,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK61_SX0 @ SV6 ) @ ( sK99_SY92 @ SV6 ) ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[743]) ).

thf(832,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[745]) ).

thf(833,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY99: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK81_SX0 @ SV4 ) @ SY99 ) )
        = $false )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[746]) ).

thf(834,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK52_SX0 @ SV4 ) @ ( sK91_SY86 @ SV4 ) ) )
        = $true )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[747]) ).

thf(835,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK53_SX0 @ SV5 @ SV6 ) @ ( sK92_SY87 @ SV6 @ SV5 ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[749]) ).

thf(836,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK54_SX0 @ SV5 @ SV4 ) @ ( sK93_SY88 @ SV4 @ SV5 ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[750]) ).

thf(838,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[752]) ).

thf(839,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY105: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK94_SX0 @ SV6 ) @ SY105 ) )
        = $true )
      | ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[753]) ).

thf(840,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK64_SX0 @ SV6 ) @ ( sK100_SY93 @ SV6 ) ) )
        = $false )
      | ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[754]) ).

thf(841,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK37_SX0 @ SV6 ) @ ( sK82_SY72 @ SV6 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[755]) ).

thf(843,plain,
    ! [SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[757]) ).

thf(844,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK55_SX0 @ SV4 ) @ ( sK96_SY89 @ SV4 ) ) )
        = $true )
      | ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[758]) ).

thf(845,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[760]) ).

thf(846,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[761]) ).

thf(847,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV64: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[762]) ).

thf(848,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[763]) ).

thf(850,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[765]) ).

thf(851,plain,
    ! [SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[766]) ).

thf(852,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV65: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[767]) ).

thf(853,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[768]) ).

thf(855,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[770]) ).

thf(856,plain,
    ! [SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[771]) ).

thf(857,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV66: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[772]) ).

thf(858,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[773]) ).

thf(860,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[775]) ).

thf(861,plain,
    ! [SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[776]) ).

thf(862,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV67: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[777]) ).

thf(863,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[778]) ).

thf(865,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[780]) ).

thf(866,plain,
    ! [SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[781]) ).

thf(867,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV68: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[782]) ).

thf(868,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[783]) ).

thf(870,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[785]) ).

thf(871,plain,
    ! [SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[786]) ).

thf(872,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV69: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[787]) ).

thf(873,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[788]) ).

thf(875,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[790]) ).

thf(876,plain,
    ! [SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[791]) ).

thf(877,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV70: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[792]) ).

thf(878,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[793]) ).

thf(880,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[795]) ).

thf(881,plain,
    ! [SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[796]) ).

thf(882,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[797]) ).

thf(883,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[798]) ).

thf(884,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK73_SX0 @ SV5 @ SV6 ) @ ( sK101_SY94 @ SV6 @ SV5 ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[799]) ).

thf(885,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK74_SX0 @ SV5 @ SV4 ) @ ( sK102_SY95 @ SV4 @ SV5 ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[800]) ).

thf(887,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[802]) ).

thf(888,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY127: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK103_SX0 @ SV6 ) @ SY127 ) )
        = $false )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[803]) ).

thf(889,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY100: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK83_SX0 @ SV6 ) @ SY100 ) )
        = $false )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[804]) ).

thf(890,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK56_SX0 @ SV6 ) @ ( sK97_SY90 @ SV6 ) ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[805]) ).

thf(892,plain,
    ! [SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[807]) ).

thf(893,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK76_SX0 @ SV4 ) @ ( sK105_SY96 @ SV4 ) ) )
        = $false )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[808]) ).

thf(894,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK47_SX0 @ SV4 ) @ ( sK84_SY81 @ SV4 ) )
        = $false )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[809]) ).

thf(895,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK48_SX0 @ SV5 @ SV6 ) @ ( sK85_SY82 @ SV6 @ SV5 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[810]) ).

thf(896,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK49_SX0 @ SV5 @ SV4 ) @ ( sK86_SY83 @ SV4 @ SV5 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[811]) ).

thf(898,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[813]) ).

thf(899,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY101: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK87_SX0 @ SV6 ) @ SY101 ) )
        = $false )
      | ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[814]) ).

thf(900,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK59_SX0 @ SV6 ) @ ( sK98_SY91 @ SV6 ) ) )
        = $true )
      | ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[815]) ).

thf(902,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY129: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ SY129 ) )
        = $false )
      | ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[818]) ).

thf(903,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK50_SX0 @ SV4 ) @ ( sK89_SY84 @ SV4 ) )
        = $false )
      | ( ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[819]) ).

thf(904,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV72: $i] :
              ( ( SV6 @ SV61 @ SV72 )
              = $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[820]) ).

thf(905,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[820]) ).

thf(906,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[821]) ).

thf(907,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[822]) ).

thf(908,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[823]) ).

thf(909,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK78_SX0 @ SV5 @ SV6 ) @ ( sK107_SY97 @ SV6 @ SV5 ) ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[824]) ).

thf(910,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK79_SX0 @ SV5 @ SV4 ) @ ( sK108_SY98 @ SV4 @ SV5 ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[825]) ).

thf(912,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[827]) ).

thf(913,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY131: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK109_SX0 @ SV6 ) @ SY131 ) )
        = $false )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[828]) ).

thf(914,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY104: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK90_SX0 @ SV6 ) @ SY104 ) )
        = $false )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[829]) ).

thf(915,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK61_SX0 @ SV6 ) @ ( sK99_SY92 @ SV6 ) ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[830]) ).

thf(917,plain,
    ! [SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[832]) ).

thf(918,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK81_SX0 @ SV4 ) @ ( sK111_SY99 @ SV4 ) ) )
        = $false )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[833]) ).

thf(919,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK52_SX0 @ SV4 ) @ ( sK91_SY86 @ SV4 ) )
        = $false )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[834]) ).

thf(920,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK53_SX0 @ SV5 @ SV6 ) @ ( sK92_SY87 @ SV6 @ SV5 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[835]) ).

thf(921,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK54_SX0 @ SV5 @ SV4 ) @ ( sK93_SY88 @ SV4 @ SV5 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[836]) ).

thf(923,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[838]) ).

thf(924,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY105: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK94_SX0 @ SV6 ) @ SY105 ) )
        = $false )
      | ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[839]) ).

thf(925,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK64_SX0 @ SV6 ) @ ( sK100_SY93 @ SV6 ) ) )
        = $true )
      | ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[840]) ).

thf(927,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY133: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ SY133 ) )
        = $false )
      | ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[843]) ).

thf(928,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK55_SX0 @ SV4 ) @ ( sK96_SY89 @ SV4 ) )
        = $false )
      | ( ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[844]) ).

thf(929,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV74: $i] :
              ( ( SV6 @ SV63 @ SV74 )
              = $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[845]) ).

thf(930,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[845]) ).

thf(931,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[846]) ).

thf(932,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV64: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV75: $i] :
              ( ( SV6 @ SV64 @ SV75 )
              = $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[847]) ).

thf(933,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV64: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[847]) ).

thf(934,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[848]) ).

thf(936,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[850]) ).

thf(937,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV65: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV76: $i] :
              ( ( SV6 @ SV65 @ SV76 )
              = $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[852]) ).

thf(938,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV65: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[852]) ).

thf(939,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[853]) ).

thf(941,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[855]) ).

thf(942,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV66: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV77: $i] :
              ( ( SV6 @ SV66 @ SV77 )
              = $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[857]) ).

thf(943,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV66: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[857]) ).

thf(944,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[858]) ).

thf(946,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[860]) ).

thf(947,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV67: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV78: $i] :
              ( ( SV6 @ SV67 @ SV78 )
              = $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[862]) ).

thf(948,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV67: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[862]) ).

thf(949,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[863]) ).

thf(951,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[865]) ).

thf(952,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV68: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV79: $i] :
              ( ( SV6 @ SV68 @ SV79 )
              = $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[867]) ).

thf(953,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV68: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[867]) ).

thf(954,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[868]) ).

thf(956,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[870]) ).

thf(957,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV69: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV80: $i] :
              ( ( SV6 @ SV69 @ SV80 )
              = $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[872]) ).

thf(958,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV69: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[872]) ).

thf(959,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[873]) ).

thf(961,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[875]) ).

thf(962,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV70: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV81: $i] :
              ( ( SV6 @ SV70 @ SV81 )
              = $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[877]) ).

thf(963,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV70: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[877]) ).

thf(964,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[878]) ).

thf(966,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[880]) ).

thf(967,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV82: $i] :
              ( ( SV6 @ SV71 @ SV82 )
              = $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[882]) ).

thf(968,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[882]) ).

thf(969,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[883]) ).

thf(970,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK73_SX0 @ SV5 @ SV6 ) @ ( sK101_SY94 @ SV6 @ SV5 ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[884]) ).

thf(971,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK74_SX0 @ SV5 @ SV4 ) @ ( sK102_SY95 @ SV4 @ SV5 ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[885]) ).

thf(973,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[887]) ).

thf(974,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY127: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK103_SX0 @ SV6 ) @ SY127 ) )
        = $true )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[888]) ).

thf(975,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK83_SX0 @ SV6 ) @ ( sK113_SY100 @ SV6 ) ) )
        = $false )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[889]) ).

thf(976,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK56_SX0 @ SV6 ) @ ( sK97_SY90 @ SV6 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[890]) ).

thf(978,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[892]) ).

thf(979,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK76_SX0 @ SV4 ) @ ( sK105_SY96 @ SV4 ) ) )
        = $true )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[893]) ).

thf(981,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[898]) ).

thf(982,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK87_SX0 @ SV6 ) @ ( sK115_SY101 @ SV6 ) ) )
        = $false )
      | ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[899]) ).

thf(983,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK59_SX0 @ SV6 ) @ ( sK98_SY91 @ SV6 ) )
        = $false )
      | ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[900]) ).

thf(985,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY129: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ SY129 ) )
        = $true )
      | ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[902]) ).

thf(986,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[904]) ).

thf(987,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[905]) ).

thf(988,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV84: $i] :
              ( ( SV4 @ SV84 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[906]) ).

thf(989,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[906]) ).

thf(990,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SV85: $i] :
              ( ( SV6 @ SV73 @ SV85 )
              = $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[907]) ).

thf(991,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[907]) ).

thf(992,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[908]) ).

thf(993,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK78_SX0 @ SV5 @ SV6 ) @ ( sK107_SY97 @ SV6 @ SV5 ) ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[909]) ).

thf(994,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK79_SX0 @ SV5 @ SV4 ) @ ( sK108_SY98 @ SV4 @ SV5 ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[910]) ).

thf(996,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[912]) ).

thf(997,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY131: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK109_SX0 @ SV6 ) @ SY131 ) )
        = $true )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[913]) ).

thf(998,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK90_SX0 @ SV6 ) @ ( sK117_SY104 @ SV6 ) ) )
        = $false )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[914]) ).

thf(999,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK61_SX0 @ SV6 ) @ ( sK99_SY92 @ SV6 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[915]) ).

thf(1001,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[917]) ).

thf(1002,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK81_SX0 @ SV4 ) @ ( sK111_SY99 @ SV4 ) ) )
        = $true )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[918]) ).

thf(1004,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[923]) ).

thf(1005,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK94_SX0 @ SV6 ) @ ( sK119_SY105 @ SV6 ) ) )
        = $false )
      | ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[924]) ).

thf(1006,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK64_SX0 @ SV6 ) @ ( sK100_SY93 @ SV6 ) )
        = $false )
      | ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[925]) ).

thf(1008,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY133: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ SY133 ) )
        = $true )
      | ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[927]) ).

thf(1009,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[929]) ).

thf(1010,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[930]) ).

thf(1011,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV87: $i] :
              ( ( SV4 @ SV87 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[931]) ).

thf(1012,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[931]) ).

thf(1013,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[932]) ).

thf(1014,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[933]) ).

thf(1015,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV89: $i] :
              ( ( SV4 @ SV89 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[934]) ).

thf(1016,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[934]) ).

thf(1017,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[936]) ).

thf(1018,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[937]) ).

thf(1019,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[938]) ).

thf(1020,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV91: $i] :
              ( ( SV4 @ SV91 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[939]) ).

thf(1021,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[939]) ).

thf(1022,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[941]) ).

thf(1023,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[942]) ).

thf(1024,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[943]) ).

thf(1025,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV93: $i] :
              ( ( SV4 @ SV93 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[944]) ).

thf(1026,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[944]) ).

thf(1027,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[946]) ).

thf(1028,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[947]) ).

thf(1029,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[948]) ).

thf(1030,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV95: $i] :
              ( ( SV4 @ SV95 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[949]) ).

thf(1031,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[949]) ).

thf(1032,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[951]) ).

thf(1033,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[952]) ).

thf(1034,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[953]) ).

thf(1035,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV97: $i] :
              ( ( SV4 @ SV97 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[954]) ).

thf(1036,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[954]) ).

thf(1037,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[956]) ).

thf(1038,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[957]) ).

thf(1039,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[958]) ).

thf(1040,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV99: $i] :
              ( ( SV4 @ SV99 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[959]) ).

thf(1041,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[959]) ).

thf(1042,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[961]) ).

thf(1043,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[962]) ).

thf(1044,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[963]) ).

thf(1045,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV101: $i] :
              ( ( SV4 @ SV101 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[964]) ).

thf(1046,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[964]) ).

thf(1047,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[966]) ).

thf(1048,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[967]) ).

thf(1049,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[968]) ).

thf(1050,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV103: $i] :
              ( ( SV4 @ SV103 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[969]) ).

thf(1051,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[969]) ).

thf(1052,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK73_SX0 @ SV5 @ SV6 ) @ ( sK101_SY94 @ SV6 @ SV5 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[970]) ).

thf(1053,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK74_SX0 @ SV5 @ SV4 ) @ ( sK102_SY95 @ SV4 @ SV5 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[971]) ).

thf(1055,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[973]) ).

thf(1056,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY127: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK103_SX0 @ SV6 ) @ SY127 ) )
        = $false )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[974]) ).

thf(1057,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK83_SX0 @ SV6 ) @ ( sK113_SY100 @ SV6 ) ) )
        = $true )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[975]) ).

thf(1059,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY146: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ SY146 ) )
        = $false )
      | ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[978]) ).

thf(1060,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK76_SX0 @ SV4 ) @ ( sK105_SY96 @ SV4 ) )
        = $false )
      | ( ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[979]) ).

thf(1062,plain,
    ! [SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[981]) ).

thf(1063,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK87_SX0 @ SV6 ) @ ( sK115_SY101 @ SV6 ) ) )
        = $true )
      | ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[982]) ).

thf(1065,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY129: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ SY129 ) )
        = $false )
      | ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[985]) ).

thf(1066,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV61 @ SV83 )
              | $true )
          | ~ ( ~ ( SV6 @ SV61 @ SV83 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[986]) ).

thf(1067,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[986]) ).

thf(1068,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[987]) ).

thf(1069,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV104: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV104 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[988]) ).

thf(1070,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV105: $i] :
      ( ( ( ~ ~ ! [SY148: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV105 @ SY148 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[989]) ).

thf(1071,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[990]) ).

thf(1072,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[991]) ).

thf(1073,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV107: $i] :
              ( ( SV4 @ SV107 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[992]) ).

thf(1074,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[992]) ).

thf(1075,plain,
    ! [SV6: $i > $i > $o,SV5: $i] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK78_SX0 @ SV5 @ SV6 ) @ ( sK107_SY97 @ SV6 @ SV5 ) )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[993]) ).

thf(1076,plain,
    ! [SV4: $i > $i > $o,SV5: $i] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK79_SX0 @ SV5 @ SV4 ) @ ( sK108_SY98 @ SV4 @ SV5 ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[994]) ).

thf(1078,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[996]) ).

thf(1079,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY131: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK109_SX0 @ SV6 ) @ SY131 ) )
        = $false )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[997]) ).

thf(1080,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK90_SX0 @ SV6 ) @ ( sK117_SY104 @ SV6 ) ) )
        = $true )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[998]) ).

thf(1082,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY150: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ SY150 ) )
        = $false )
      | ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1001]) ).

thf(1083,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK81_SX0 @ SV4 ) @ ( sK111_SY99 @ SV4 ) )
        = $false )
      | ( ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1002]) ).

thf(1085,plain,
    ! [SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1004]) ).

thf(1086,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK94_SX0 @ SV6 ) @ ( sK119_SY105 @ SV6 ) ) )
        = $true )
      | ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1005]) ).

thf(1088,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY133: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ SY133 ) )
        = $false )
      | ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1008]) ).

thf(1089,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV63 @ SV86 )
              | $true )
          | ~ ( ~ ( SV6 @ SV63 @ SV86 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1009]) ).

thf(1090,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1009]) ).

thf(1091,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1010]) ).

thf(1092,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV108: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV108 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1011]) ).

thf(1093,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV109: $i] :
      ( ( ( ~ ~ ! [SY152: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV109 @ SY152 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1012]) ).

thf(1094,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV64 @ SV88 )
              | $true )
          | ~ ( ~ ( SV6 @ SV64 @ SV88 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1013]) ).

thf(1095,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1013]) ).

thf(1096,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1014]) ).

thf(1097,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV110 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1015]) ).

thf(1098,plain,
    ! [SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1017]) ).

thf(1099,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV65 @ SV90 )
              | $true )
          | ~ ( ~ ( SV6 @ SV65 @ SV90 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1018]) ).

thf(1100,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1018]) ).

thf(1101,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1019]) ).

thf(1102,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV111 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1020]) ).

thf(1103,plain,
    ! [SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1022]) ).

thf(1104,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV66 @ SV92 )
              | $true )
          | ~ ( ~ ( SV6 @ SV66 @ SV92 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1023]) ).

thf(1105,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1023]) ).

thf(1106,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1024]) ).

thf(1107,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV112 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1025]) ).

thf(1108,plain,
    ! [SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1027]) ).

thf(1109,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV67 @ SV94 )
              | $true )
          | ~ ( ~ ( SV6 @ SV67 @ SV94 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1028]) ).

thf(1110,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1028]) ).

thf(1111,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1029]) ).

thf(1112,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV113 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1030]) ).

thf(1113,plain,
    ! [SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1032]) ).

thf(1114,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV68 @ SV96 )
              | $true )
          | ~ ( ~ ( SV6 @ SV68 @ SV96 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1033]) ).

thf(1115,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1033]) ).

thf(1116,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1034]) ).

thf(1117,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV114 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1035]) ).

thf(1118,plain,
    ! [SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1037]) ).

thf(1119,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV69 @ SV98 )
              | $true )
          | ~ ( ~ ( SV6 @ SV69 @ SV98 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1038]) ).

thf(1120,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1038]) ).

thf(1121,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1039]) ).

thf(1122,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV115 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1040]) ).

thf(1123,plain,
    ! [SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1042]) ).

thf(1124,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV70 @ SV100 )
              | $true )
          | ~ ( ~ ( SV6 @ SV70 @ SV100 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1043]) ).

thf(1125,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1043]) ).

thf(1126,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1044]) ).

thf(1127,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV116 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1045]) ).

thf(1128,plain,
    ! [SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1047]) ).

thf(1129,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV71 @ SV102 )
              | $true )
          | ~ ( ~ ( SV6 @ SV71 @ SV102 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1048]) ).

thf(1130,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1048]) ).

thf(1131,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1049]) ).

thf(1132,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV117: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1050]) ).

thf(1133,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1051]) ).

thf(1135,plain,
    ! [SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1055]) ).

thf(1136,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK103_SX0 @ SV6 ) @ ( sK124_SY127 @ SV6 ) ) )
        = $false )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1056]) ).

thf(1137,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK83_SX0 @ SV6 ) @ ( sK113_SY100 @ SV6 ) )
        = $false )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1057]) ).

thf(1139,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY146: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ SY146 ) )
        = $true )
      | ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1059]) ).

thf(1141,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY162: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ SY162 ) )
        = $false )
      | ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1062]) ).

thf(1142,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK87_SX0 @ SV6 ) @ ( sK115_SY101 @ SV6 ) )
        = $false )
      | ( ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1063]) ).

thf(1144,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ ( sK127_SY129 @ SV4 ) ) )
        = $false )
      | ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1065]) ).

thf(1145,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV61 @ SV83 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV6 @ SV61 @ SV83 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1066]) ).

thf(1146,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1067]) ).

thf(1147,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV118: $i] :
              ( ( SV4 @ SV118 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1068]) ).

thf(1148,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1068]) ).

thf(1149,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV104: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV119: $i] :
              ( ( SV4 @ SV104 @ SV119 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1069]) ).

thf(1150,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV104: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV104 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1069]) ).

thf(1151,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV105: $i] :
      ( ( ( ~ ! [SY148: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV105 @ SY148 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1070]) ).

thf(1152,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV73 @ SV106 )
              | $true )
          | ~ ( ~ ( SV6 @ SV73 @ SV106 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1071]) ).

thf(1153,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1071]) ).

thf(1154,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1072]) ).

thf(1155,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV120: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV120 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1073]) ).

thf(1156,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1074]) ).

thf(1158,plain,
    ! [SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
        = $false )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1078]) ).

thf(1159,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK109_SX0 @ SV6 ) @ ( sK129_SY131 @ SV6 ) ) )
        = $false )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1079]) ).

thf(1160,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK90_SX0 @ SV6 ) @ ( sK117_SY104 @ SV6 ) )
        = $false )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1080]) ).

thf(1162,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ! [SY150: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ SY150 ) )
        = $true )
      | ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1082]) ).

thf(1164,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY166: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ SY166 ) )
        = $false )
      | ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1085]) ).

thf(1165,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK94_SX0 @ SV6 ) @ ( sK119_SY105 @ SV6 ) )
        = $false )
      | ( ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1086]) ).

thf(1167,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ ( sK132_SY133 @ SV4 ) ) )
        = $false )
      | ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1088]) ).

thf(1168,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV63 @ SV86 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV6 @ SV63 @ SV86 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1089]) ).

thf(1169,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1090]) ).

thf(1170,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV121: $i] :
              ( ( SV4 @ SV121 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1091]) ).

thf(1171,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1091]) ).

thf(1172,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV108: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV122: $i] :
              ( ( SV4 @ SV108 @ SV122 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1092]) ).

thf(1173,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV108: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV108 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1092]) ).

thf(1174,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV109: $i] :
      ( ( ( ~ ! [SY152: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV109 @ SY152 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1093]) ).

thf(1175,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV64 @ SV88 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV6 @ SV64 @ SV88 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1094]) ).

thf(1176,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1095]) ).

thf(1177,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV123: $i] :
              ( ( SV4 @ SV123 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1096]) ).

thf(1178,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1096]) ).

thf(1179,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV124: $i] :
              ( ( SV4 @ SV110 @ SV124 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1097]) ).

thf(1180,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV110 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1097]) ).

thf(1181,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV65 @ SV90 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV6 @ SV65 @ SV90 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1099]) ).

thf(1182,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1100]) ).

thf(1183,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV125: $i] :
              ( ( SV4 @ SV125 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1101]) ).

thf(1184,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1101]) ).

thf(1185,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV126: $i] :
              ( ( SV4 @ SV111 @ SV126 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1102]) ).

thf(1186,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV111 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1102]) ).

thf(1187,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV66 @ SV92 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV6 @ SV66 @ SV92 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1104]) ).

thf(1188,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1105]) ).

thf(1189,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV127: $i] :
              ( ( SV4 @ SV127 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1106]) ).

thf(1190,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1106]) ).

thf(1191,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV128: $i] :
              ( ( SV4 @ SV112 @ SV128 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1107]) ).

thf(1192,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV112 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1107]) ).

thf(1193,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV67 @ SV94 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV6 @ SV67 @ SV94 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1109]) ).

thf(1194,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1110]) ).

thf(1195,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV129: $i] :
              ( ( SV4 @ SV129 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1111]) ).

thf(1196,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1111]) ).

thf(1197,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV130: $i] :
              ( ( SV4 @ SV113 @ SV130 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1112]) ).

thf(1198,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV113 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1112]) ).

thf(1199,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV68 @ SV96 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV6 @ SV68 @ SV96 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1114]) ).

thf(1200,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1115]) ).

thf(1201,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV131: $i] :
              ( ( SV4 @ SV131 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1116]) ).

thf(1202,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1116]) ).

thf(1203,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV132: $i] :
              ( ( SV4 @ SV114 @ SV132 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1117]) ).

thf(1204,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV114 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1117]) ).

thf(1205,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV69 @ SV98 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV6 @ SV69 @ SV98 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1119]) ).

thf(1206,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1120]) ).

thf(1207,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV133: $i] :
              ( ( SV4 @ SV133 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1121]) ).

thf(1208,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1121]) ).

thf(1209,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV134: $i] :
              ( ( SV4 @ SV115 @ SV134 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1122]) ).

thf(1210,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV115 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1122]) ).

thf(1211,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV70 @ SV100 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV6 @ SV70 @ SV100 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1124]) ).

thf(1212,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1125]) ).

thf(1213,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV135: $i] :
              ( ( SV4 @ SV135 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1126]) ).

thf(1214,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1126]) ).

thf(1215,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV136: $i] :
              ( ( SV4 @ SV116 @ SV136 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1127]) ).

thf(1216,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV116 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1127]) ).

thf(1217,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV71 @ SV102 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV6 @ SV71 @ SV102 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1129]) ).

thf(1218,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1130]) ).

thf(1219,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV137: $i] :
              ( ( SV4 @ SV137 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1131]) ).

thf(1220,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1131]) ).

thf(1221,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV117: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV138: $i] :
              ( ( SV4 @ SV117 @ SV138 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1132]) ).

thf(1222,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV117: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1132]) ).

thf(1223,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV139: $i] :
      ( ( ( ~ ~ ! [SY176: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV139 @ SY176 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1133]) ).

thf(1225,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1135]) ).

thf(1226,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK103_SX0 @ SV6 ) @ ( sK124_SY127 @ SV6 ) ) )
        = $true )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1136]) ).

thf(1228,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY146: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ SY146 ) )
        = $false )
      | ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1139]) ).

thf(1230,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY162: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ SY162 ) )
        = $true )
      | ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1141]) ).

thf(1231,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ ( sK127_SY129 @ SV4 ) ) )
        = $true )
      | ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1144]) ).

thf(1232,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV61 @ SV83 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV6 @ SV61 @ SV83 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1145]) ).

thf(1233,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1146]) ).

thf(1234,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV140: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV140 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1147]) ).

thf(1235,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV141: $i] :
      ( ( ( ~ ~ ! [SY178: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV141 @ SY178 ) )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1148]) ).

thf(1236,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV104 @ SV142 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1149]) ).

thf(1237,plain,
    ! [SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV143: $i] :
      ( ( ( ~ ~ ! [SY179: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV143 @ SY179 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV104 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1150]) ).

thf(1238,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV105: $i] :
      ( ( ( ! [SY148: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV105 @ SY148 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1151]) ).

thf(1239,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( ( SV6 @ SV73 @ SV106 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV6 @ SV73 @ SV106 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1152]) ).

thf(1240,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1153]) ).

thf(1241,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV144: $i] :
              ( ( SV4 @ SV144 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1154]) ).

thf(1242,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1154]) ).

thf(1243,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV120: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV145: $i] :
              ( ( SV4 @ SV120 @ SV145 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1155]) ).

thf(1244,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV120: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV120 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1155]) ).

thf(1245,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV146: $i] :
      ( ( ( ~ ~ ! [SY181: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV146 @ SY181 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1156]) ).

thf(1247,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1158]) ).

thf(1248,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK109_SX0 @ SV6 ) @ ( sK129_SY131 @ SV6 ) ) )
        = $true )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1159]) ).

thf(1250,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ! [SY150: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ SY150 ) )
        = $false )
      | ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1162]) ).

thf(1252,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY166: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ SY166 ) )
        = $true )
      | ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1164]) ).

thf(1253,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ ( sK132_SY133 @ SV4 ) ) )
        = $true )
      | ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1167]) ).

thf(1254,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV63 @ SV86 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV6 @ SV63 @ SV86 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1168]) ).

thf(1255,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1169]) ).

thf(1256,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV147: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV147 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1170]) ).

thf(1257,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV148: $i] :
      ( ( ( ~ ~ ! [SY183: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV148 @ SY183 ) )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1171]) ).

thf(1258,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV108 @ SV149 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1172]) ).

thf(1259,plain,
    ! [SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV150: $i] :
      ( ( ( ~ ~ ! [SY184: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV150 @ SY184 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV108 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1173]) ).

thf(1260,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV109: $i] :
      ( ( ( ! [SY152: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV109 @ SY152 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1174]) ).

thf(1261,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV64 @ SV88 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV6 @ SV64 @ SV88 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1175]) ).

thf(1262,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1176]) ).

thf(1263,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV151 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1177]) ).

thf(1264,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV110 @ SV152 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1179]) ).

thf(1265,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV65 @ SV90 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV6 @ SV65 @ SV90 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1181]) ).

thf(1266,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1182]) ).

thf(1267,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV153 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1183]) ).

thf(1268,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV111 @ SV154 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1185]) ).

thf(1269,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV66 @ SV92 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV6 @ SV66 @ SV92 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1187]) ).

thf(1270,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1188]) ).

thf(1271,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV155 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1189]) ).

thf(1272,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV112 @ SV156 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1191]) ).

thf(1273,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV67 @ SV94 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV6 @ SV67 @ SV94 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1193]) ).

thf(1274,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1194]) ).

thf(1275,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV157 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1195]) ).

thf(1276,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV113 @ SV158 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1197]) ).

thf(1277,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV68 @ SV96 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV6 @ SV68 @ SV96 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1199]) ).

thf(1278,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1200]) ).

thf(1279,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV159 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1201]) ).

thf(1280,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV114 @ SV160 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1203]) ).

thf(1281,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV69 @ SV98 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV6 @ SV69 @ SV98 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1205]) ).

thf(1282,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1206]) ).

thf(1283,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV161 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1207]) ).

thf(1284,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV115 @ SV162 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1209]) ).

thf(1285,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV70 @ SV100 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV6 @ SV70 @ SV100 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1211]) ).

thf(1286,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1212]) ).

thf(1287,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV163 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1213]) ).

thf(1288,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV116 @ SV164 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1215]) ).

thf(1289,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV71 @ SV102 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV6 @ SV71 @ SV102 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1217]) ).

thf(1290,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1218]) ).

thf(1291,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV165: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV165 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1219]) ).

thf(1292,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1220]) ).

thf(1293,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV117 @ SV166 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1221]) ).

thf(1294,plain,
    ! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1222]) ).

thf(1295,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV139: $i] :
      ( ( ( ~ ! [SY176: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV139 @ SY176 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1223]) ).

thf(1297,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY193: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ SY193 ) )
        = $false )
      | ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1225]) ).

thf(1298,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK103_SX0 @ SV6 ) @ ( sK124_SY127 @ SV6 ) )
        = $false )
      | ( ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1226]) ).

thf(1300,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ ( sK136_SY146 @ SV4 ) ) )
        = $false )
      | ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1228]) ).

thf(1302,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY162: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ SY162 ) )
        = $false )
      | ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1230]) ).

thf(1303,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ ( sK127_SY129 @ SV4 ) )
        = $false )
      | ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1231]) ).

thf(1305,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV6 @ SV61 @ SV83 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1232]) ).

thf(1306,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV167: $i] :
              ( ( SV4 @ SV167 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1233]) ).

thf(1307,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1233]) ).

thf(1308,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV140: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV168: $i] :
              ( ( SV4 @ SV140 @ SV168 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1234]) ).

thf(1309,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV140: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV140 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1234]) ).

thf(1310,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV141: $i] :
      ( ( ( ~ ! [SY178: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV141 @ SY178 ) )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1235]) ).

thf(1311,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV104 @ SV142 )
              | $true )
          | ~ ( ~ ( SV4 @ SV104 @ SV142 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1236]) ).

thf(1312,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV104 @ SV142 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1236]) ).

thf(1313,plain,
    ! [SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV143: $i] :
      ( ( ( ~ ! [SY179: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV143 @ SY179 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV104 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1237]) ).

thf(1314,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV169: $i,SV105: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV105 @ SV169 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1238]) ).

thf(1315,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ( SV6 @ SV73 @ SV106 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV6 @ SV73 @ SV106 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1239]) ).

thf(1316,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1240]) ).

thf(1317,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV170: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV170 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1241]) ).

thf(1318,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1242]) ).

thf(1319,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV120 @ SV171 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1243]) ).

thf(1320,plain,
    ! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1244]) ).

thf(1321,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV146: $i] :
      ( ( ( ~ ! [SY181: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV146 @ SY181 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1245]) ).

thf(1323,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ! [SY196: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ SY196 ) )
        = $false )
      | ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1247]) ).

thf(1324,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK109_SX0 @ SV6 ) @ ( sK129_SY131 @ SV6 ) )
        = $false )
      | ( ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
          = $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1248]) ).

thf(1326,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ ( sK138_SY150 @ SV4 ) ) )
        = $false )
      | ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1250]) ).

thf(1328,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY166: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ SY166 ) )
        = $false )
      | ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1252]) ).

thf(1329,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ ( sK132_SY133 @ SV4 ) )
        = $false )
      | ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1253]) ).

thf(1331,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV6 @ SV63 @ SV86 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1254]) ).

thf(1332,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV172: $i] :
              ( ( SV4 @ SV172 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1255]) ).

thf(1333,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1255]) ).

thf(1334,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV147: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV173: $i] :
              ( ( SV4 @ SV147 @ SV173 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1256]) ).

thf(1335,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV147: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV147 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1256]) ).

thf(1336,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV148: $i] :
      ( ( ( ~ ! [SY183: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV148 @ SY183 ) )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1257]) ).

thf(1337,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV108 @ SV149 )
              | $true )
          | ~ ( ~ ( SV4 @ SV108 @ SV149 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1258]) ).

thf(1338,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV108 @ SV149 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1258]) ).

thf(1339,plain,
    ! [SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV150: $i] :
      ( ( ( ~ ! [SY184: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV150 @ SY184 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV108 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1259]) ).

thf(1340,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV174: $i,SV109: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV109 @ SV174 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1260]) ).

thf(1342,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV6 @ SV64 @ SV88 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1261]) ).

thf(1343,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV175: $i] :
              ( ( SV4 @ SV175 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1262]) ).

thf(1344,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1262]) ).

thf(1345,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV176: $i] :
              ( ( SV4 @ SV151 @ SV176 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1263]) ).

thf(1346,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV151 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1263]) ).

thf(1347,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV110 @ SV152 )
              | $true )
          | ~ ( ~ ( SV4 @ SV110 @ SV152 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1264]) ).

thf(1348,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV110 @ SV152 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1264]) ).

thf(1350,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV6 @ SV65 @ SV90 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1265]) ).

thf(1351,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV177: $i] :
              ( ( SV4 @ SV177 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1266]) ).

thf(1352,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1266]) ).

thf(1353,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV178: $i] :
              ( ( SV4 @ SV153 @ SV178 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1267]) ).

thf(1354,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV153 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1267]) ).

thf(1355,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV111 @ SV154 )
              | $true )
          | ~ ( ~ ( SV4 @ SV111 @ SV154 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1268]) ).

thf(1356,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV111 @ SV154 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1268]) ).

thf(1358,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV6 @ SV66 @ SV92 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1269]) ).

thf(1359,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV179: $i] :
              ( ( SV4 @ SV179 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1270]) ).

thf(1360,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1270]) ).

thf(1361,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV180: $i] :
              ( ( SV4 @ SV155 @ SV180 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1271]) ).

thf(1362,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV155 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1271]) ).

thf(1363,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV112 @ SV156 )
              | $true )
          | ~ ( ~ ( SV4 @ SV112 @ SV156 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1272]) ).

thf(1364,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV112 @ SV156 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1272]) ).

thf(1366,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV6 @ SV67 @ SV94 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1273]) ).

thf(1367,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV181: $i] :
              ( ( SV4 @ SV181 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1274]) ).

thf(1368,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1274]) ).

thf(1369,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV182: $i] :
              ( ( SV4 @ SV157 @ SV182 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1275]) ).

thf(1370,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV157 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1275]) ).

thf(1371,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV113 @ SV158 )
              | $true )
          | ~ ( ~ ( SV4 @ SV113 @ SV158 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1276]) ).

thf(1372,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV113 @ SV158 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1276]) ).

thf(1374,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV6 @ SV68 @ SV96 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1277]) ).

thf(1375,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV183: $i] :
              ( ( SV4 @ SV183 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1278]) ).

thf(1376,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1278]) ).

thf(1377,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV184: $i] :
              ( ( SV4 @ SV159 @ SV184 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1279]) ).

thf(1378,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV159 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1279]) ).

thf(1379,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV114 @ SV160 )
              | $true )
          | ~ ( ~ ( SV4 @ SV114 @ SV160 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1280]) ).

thf(1380,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV114 @ SV160 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1280]) ).

thf(1382,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV6 @ SV69 @ SV98 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1281]) ).

thf(1383,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV185: $i] :
              ( ( SV4 @ SV185 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1282]) ).

thf(1384,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1282]) ).

thf(1385,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV186: $i] :
              ( ( SV4 @ SV161 @ SV186 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1283]) ).

thf(1386,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV161 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1283]) ).

thf(1387,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV115 @ SV162 )
              | $true )
          | ~ ( ~ ( SV4 @ SV115 @ SV162 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1284]) ).

thf(1388,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV115 @ SV162 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1284]) ).

thf(1390,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV6 @ SV70 @ SV100 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1285]) ).

thf(1391,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV187: $i] :
              ( ( SV4 @ SV187 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1286]) ).

thf(1392,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1286]) ).

thf(1393,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV188: $i] :
              ( ( SV4 @ SV163 @ SV188 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1287]) ).

thf(1394,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV163 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1287]) ).

thf(1395,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV116 @ SV164 )
              | $true )
          | ~ ( ~ ( SV4 @ SV116 @ SV164 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1288]) ).

thf(1396,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV116 @ SV164 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1288]) ).

thf(1398,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV6 @ SV71 @ SV102 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1289]) ).

thf(1399,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV189: $i] :
              ( ( SV4 @ SV189 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1290]) ).

thf(1400,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1290]) ).

thf(1401,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV165: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV190: $i] :
              ( ( SV4 @ SV165 @ SV190 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1291]) ).

thf(1402,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV165: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV165 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1291]) ).

thf(1403,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV191: $i] :
      ( ( ( ~ ~ ! [SY206: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV191 @ SY206 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1292]) ).

thf(1404,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV117 @ SV166 )
              | $true )
          | ~ ( ~ ( SV4 @ SV117 @ SV166 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1293]) ).

thf(1405,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV117 @ SV166 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1293]) ).

thf(1406,plain,
    ! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV192: $i] :
      ( ( ( ~ ~ ! [SY207: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV192 @ SY207 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1294]) ).

thf(1407,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV139: $i] :
      ( ( ( ! [SY176: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV139 @ SY176 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1295]) ).

thf(1409,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY193: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ SY193 ) )
        = $true )
      | ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1297]) ).

thf(1410,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ ( sK136_SY146 @ SV4 ) ) )
        = $true )
      | ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1300]) ).

thf(1412,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ ( sK140_SY162 @ SV6 ) ) )
        = $false )
      | ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1302]) ).

thf(1414,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV61 @ SV83 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1305]) ).

thf(1415,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV193: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV193 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1306]) ).

thf(1416,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV194: $i] :
      ( ( ( ~ ~ ! [SY209: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV194 @ SY209 ) )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1307]) ).

thf(1417,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV140 @ SV195 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1308]) ).

thf(1418,plain,
    ! [SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV196: $i] :
      ( ( ( ~ ~ ! [SY210: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV196 @ SY210 ) )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV140 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1309]) ).

thf(1419,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV141: $i] :
      ( ( ( ! [SY178: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV141 @ SY178 ) )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1310]) ).

thf(1420,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV104 @ SV142 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV104 @ SV142 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1311]) ).

thf(1421,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV197: $i] :
      ( ( ( ~ ~ ! [SY211: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV197 @ SY211 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV104 @ SV142 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1312]) ).

thf(1422,plain,
    ! [SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV143: $i] :
      ( ( ( ! [SY179: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV143 @ SY179 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV104 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1313]) ).

thf(1423,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV169: $i,SV105: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV105 @ SV169 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1314]) ).

thf(1425,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV6 @ SV73 @ SV106 )
              | ~ $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1315]) ).

thf(1426,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV198: $i] :
              ( ( SV4 @ SV198 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1316]) ).

thf(1427,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1316]) ).

thf(1428,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV170: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV199: $i] :
              ( ( SV4 @ SV170 @ SV199 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1317]) ).

thf(1429,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV170: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV170 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1317]) ).

thf(1430,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV200: $i] :
      ( ( ( ~ ~ ! [SY213: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV200 @ SY213 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1318]) ).

thf(1431,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV120 @ SV171 )
              | $true )
          | ~ ( ~ ( SV4 @ SV120 @ SV171 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1319]) ).

thf(1432,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV120 @ SV171 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1319]) ).

thf(1433,plain,
    ! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV201: $i] :
      ( ( ( ~ ~ ! [SY214: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV201 @ SY214 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1320]) ).

thf(1434,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV146: $i] :
      ( ( ( ! [SY181: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV146 @ SY181 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1321]) ).

thf(1436,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ! [SY196: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ SY196 ) )
        = $true )
      | ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1323]) ).

thf(1437,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ ( sK138_SY150 @ SV4 ) ) )
        = $true )
      | ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1326]) ).

thf(1439,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ ( sK142_SY166 @ SV6 ) ) )
        = $false )
      | ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1328]) ).

thf(1441,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV63 @ SV86 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1331]) ).

thf(1442,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV202: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1332]) ).

thf(1443,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV203: $i] :
      ( ( ( ~ ~ ! [SY216: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV203 @ SY216 ) )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1333]) ).

thf(1444,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV147 @ SV204 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1334]) ).

thf(1445,plain,
    ! [SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV205: $i] :
      ( ( ( ~ ~ ! [SY217: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV205 @ SY217 ) )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV147 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1335]) ).

thf(1446,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV148: $i] :
      ( ( ( ! [SY183: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV148 @ SY183 ) )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1336]) ).

thf(1447,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV108 @ SV149 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV108 @ SV149 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1337]) ).

thf(1448,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV206: $i] :
      ( ( ( ~ ~ ! [SY218: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV206 @ SY218 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV108 @ SV149 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1338]) ).

thf(1449,plain,
    ! [SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV150: $i] :
      ( ( ( ! [SY184: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV150 @ SY184 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV108 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1339]) ).

thf(1450,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV174: $i,SV109: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV109 @ SV174 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1340]) ).

thf(1452,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV64 @ SV88 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1342]) ).

thf(1453,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV207 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1343]) ).

thf(1454,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV151 @ SV208 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1345]) ).

thf(1455,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV110 @ SV152 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV110 @ SV152 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1347]) ).

thf(1457,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV65 @ SV90 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1350]) ).

thf(1458,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV209 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1351]) ).

thf(1459,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV153 @ SV210 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1353]) ).

thf(1460,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV111 @ SV154 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV111 @ SV154 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1355]) ).

thf(1462,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV66 @ SV92 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1358]) ).

thf(1463,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV211 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1359]) ).

thf(1464,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV155 @ SV212 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1361]) ).

thf(1465,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV112 @ SV156 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV112 @ SV156 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1363]) ).

thf(1467,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV67 @ SV94 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1366]) ).

thf(1468,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV213 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1367]) ).

thf(1469,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV157 @ SV214 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1369]) ).

thf(1470,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV113 @ SV158 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV113 @ SV158 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1371]) ).

thf(1472,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV68 @ SV96 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1374]) ).

thf(1473,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV215 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1375]) ).

thf(1474,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV159 @ SV216 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1377]) ).

thf(1475,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV114 @ SV160 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV114 @ SV160 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1379]) ).

thf(1477,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV69 @ SV98 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1382]) ).

thf(1478,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV217 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1383]) ).

thf(1479,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV161 @ SV218 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1385]) ).

thf(1480,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV115 @ SV162 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV115 @ SV162 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1387]) ).

thf(1482,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV70 @ SV100 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1390]) ).

thf(1483,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV219 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1391]) ).

thf(1484,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV163 @ SV220 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1393]) ).

thf(1485,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV116 @ SV164 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV116 @ SV164 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1395]) ).

thf(1487,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV71 @ SV102 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1398]) ).

thf(1488,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV221: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV221 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1399]) ).

thf(1489,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1400]) ).

thf(1490,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV165 @ SV222 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1401]) ).

thf(1491,plain,
    ! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1402]) ).

thf(1492,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV191: $i] :
      ( ( ( ~ ! [SY206: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV191 @ SY206 ) )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1403]) ).

thf(1493,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV117 @ SV166 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV117 @ SV166 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1404]) ).

thf(1494,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 @ SV166 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1405]) ).

thf(1495,plain,
    ! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV192: $i] :
      ( ( ( ~ ! [SY207: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV192 @ SY207 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1406]) ).

thf(1496,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV223: $i,SV139: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV139 @ SV223 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1407]) ).

thf(1498,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY193: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ SY193 ) )
        = $false )
      | ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1409]) ).

thf(1499,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ ( sK136_SY146 @ SV4 ) )
        = $false )
      | ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1410]) ).

thf(1500,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ ( sK140_SY162 @ SV6 ) ) )
        = $true )
      | ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1412]) ).

thf(1503,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV61 @ SV83 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1414]) ).

thf(1505,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV193: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV224: $i] :
              ( ( SV4 @ SV193 @ SV224 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1415]) ).

thf(1506,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV193: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV193 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1415]) ).

thf(1507,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV194: $i] :
      ( ( ( ~ ! [SY209: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV194 @ SY209 ) )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1416]) ).

thf(1508,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV140 @ SV195 )
              | $true )
          | ~ ( ~ ( SV4 @ SV140 @ SV195 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1417]) ).

thf(1509,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV140 @ SV195 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1417]) ).

thf(1510,plain,
    ! [SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV196: $i] :
      ( ( ( ~ ! [SY210: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV196 @ SY210 ) )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV140 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1418]) ).

thf(1511,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV225: $i,SV141: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV141 @ SV225 ) )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1419]) ).

thf(1512,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV104 @ SV142 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV104 @ SV142 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1420]) ).

thf(1513,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV197: $i] :
      ( ( ( ~ ! [SY211: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV197 @ SY211 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV104 @ SV142 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1421]) ).

thf(1514,plain,
    ! [SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV226: $i,SV143: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV143 @ SV226 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV104 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1422]) ).

thf(1515,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV169: $i,SV105: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV105 @ SV169 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1423]) ).

thf(1517,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV73 @ SV106 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1425]) ).

thf(1518,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV227: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV227 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1426]) ).

thf(1519,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1427]) ).

thf(1520,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV170 @ SV228 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1428]) ).

thf(1521,plain,
    ! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1429]) ).

thf(1522,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV200: $i] :
      ( ( ( ~ ! [SY213: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV200 @ SY213 ) )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1430]) ).

thf(1523,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV120 @ SV171 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV120 @ SV171 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1431]) ).

thf(1524,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 @ SV171 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1432]) ).

thf(1525,plain,
    ! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV201: $i] :
      ( ( ( ~ ! [SY214: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV201 @ SY214 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1433]) ).

thf(1526,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV229: $i,SV146: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV146 @ SV229 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1434]) ).

thf(1528,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ! [SY196: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ SY196 ) )
        = $false )
      | ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1436]) ).

thf(1529,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ ( sK138_SY150 @ SV4 ) )
        = $false )
      | ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1437]) ).

thf(1530,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ ( sK142_SY166 @ SV6 ) ) )
        = $true )
      | ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1439]) ).

thf(1533,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV63 @ SV86 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1441]) ).

thf(1535,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV202: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV230: $i] :
              ( ( SV4 @ SV202 @ SV230 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1442]) ).

thf(1536,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV202: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1442]) ).

thf(1537,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV203: $i] :
      ( ( ( ~ ! [SY216: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV203 @ SY216 ) )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1443]) ).

thf(1538,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV147 @ SV204 )
              | $true )
          | ~ ( ~ ( SV4 @ SV147 @ SV204 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1444]) ).

thf(1539,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV147 @ SV204 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1444]) ).

thf(1540,plain,
    ! [SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV205: $i] :
      ( ( ( ~ ! [SY217: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV205 @ SY217 ) )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV147 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1445]) ).

thf(1541,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV231: $i,SV148: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV148 @ SV231 ) )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1446]) ).

thf(1542,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV108 @ SV149 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV108 @ SV149 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1447]) ).

thf(1543,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV206: $i] :
      ( ( ( ~ ! [SY218: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV206 @ SY218 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV108 @ SV149 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1448]) ).

thf(1544,plain,
    ! [SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV232: $i,SV150: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV150 @ SV232 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV108 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1449]) ).

thf(1545,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV174: $i,SV109: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV109 @ SV174 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1450]) ).

thf(1548,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV64 @ SV88 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1452]) ).

thf(1550,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV233: $i] :
              ( ( SV4 @ SV207 @ SV233 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1453]) ).

thf(1551,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV207 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1453]) ).

thf(1552,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV151 @ SV208 )
              | $true )
          | ~ ( ~ ( SV4 @ SV151 @ SV208 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1454]) ).

thf(1553,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV151 @ SV208 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1454]) ).

thf(1554,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV110 @ SV152 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV110 @ SV152 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1455]) ).

thf(1557,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV65 @ SV90 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1457]) ).

thf(1559,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV234: $i] :
              ( ( SV4 @ SV209 @ SV234 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1458]) ).

thf(1560,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV209 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1458]) ).

thf(1561,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV153 @ SV210 )
              | $true )
          | ~ ( ~ ( SV4 @ SV153 @ SV210 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1459]) ).

thf(1562,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV153 @ SV210 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1459]) ).

thf(1563,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV111 @ SV154 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV111 @ SV154 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1460]) ).

thf(1566,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV66 @ SV92 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1462]) ).

thf(1568,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV235: $i] :
              ( ( SV4 @ SV211 @ SV235 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1463]) ).

thf(1569,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV211 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1463]) ).

thf(1570,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV155 @ SV212 )
              | $true )
          | ~ ( ~ ( SV4 @ SV155 @ SV212 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1464]) ).

thf(1571,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV155 @ SV212 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1464]) ).

thf(1572,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV112 @ SV156 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV112 @ SV156 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1465]) ).

thf(1575,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV67 @ SV94 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1467]) ).

thf(1577,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV236: $i] :
              ( ( SV4 @ SV213 @ SV236 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1468]) ).

thf(1578,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV213 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1468]) ).

thf(1579,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV157 @ SV214 )
              | $true )
          | ~ ( ~ ( SV4 @ SV157 @ SV214 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1469]) ).

thf(1580,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV157 @ SV214 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1469]) ).

thf(1581,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV113 @ SV158 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV113 @ SV158 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1470]) ).

thf(1584,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV68 @ SV96 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1472]) ).

thf(1586,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV237: $i] :
              ( ( SV4 @ SV215 @ SV237 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1473]) ).

thf(1587,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV215 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1473]) ).

thf(1588,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV159 @ SV216 )
              | $true )
          | ~ ( ~ ( SV4 @ SV159 @ SV216 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1474]) ).

thf(1589,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV159 @ SV216 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1474]) ).

thf(1590,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV114 @ SV160 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV114 @ SV160 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1475]) ).

thf(1593,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV69 @ SV98 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1477]) ).

thf(1595,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV238: $i] :
              ( ( SV4 @ SV217 @ SV238 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1478]) ).

thf(1596,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV217 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1478]) ).

thf(1597,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV161 @ SV218 )
              | $true )
          | ~ ( ~ ( SV4 @ SV161 @ SV218 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1479]) ).

thf(1598,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV161 @ SV218 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1479]) ).

thf(1599,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV115 @ SV162 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV115 @ SV162 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1480]) ).

thf(1602,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV70 @ SV100 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1482]) ).

thf(1604,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV239: $i] :
              ( ( SV4 @ SV219 @ SV239 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1483]) ).

thf(1605,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV219 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1483]) ).

thf(1606,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV163 @ SV220 )
              | $true )
          | ~ ( ~ ( SV4 @ SV163 @ SV220 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1484]) ).

thf(1607,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV163 @ SV220 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1484]) ).

thf(1608,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV116 @ SV164 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV116 @ SV164 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1485]) ).

thf(1611,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV71 @ SV102 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1487]) ).

thf(1613,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV221: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV240: $i] :
              ( ( SV4 @ SV221 @ SV240 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1488]) ).

thf(1614,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV221: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV221 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1488]) ).

thf(1615,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV241: $i] :
      ( ( ( ~ ~ ! [SY228: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV241 @ SY228 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1489]) ).

thf(1616,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV165 @ SV222 )
              | $true )
          | ~ ( ~ ( SV4 @ SV165 @ SV222 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1490]) ).

thf(1617,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV165 @ SV222 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1490]) ).

thf(1618,plain,
    ! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV242: $i] :
      ( ( ( ~ ~ ! [SY229: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV242 @ SY229 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1491]) ).

thf(1619,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV191: $i] :
      ( ( ( ! [SY206: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV191 @ SY206 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1492]) ).

thf(1620,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV117 @ SV166 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV117 @ SV166 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1493]) ).

thf(1621,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV243: $i] :
      ( ( ( ~ ~ ! [SY230: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV243 @ SY230 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 @ SV166 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1494]) ).

thf(1622,plain,
    ! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV192: $i] :
      ( ( ( ! [SY207: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV192 @ SY207 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1495]) ).

thf(1623,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV223: $i,SV139: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV139 @ SV223 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1496]) ).

thf(1625,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ ( sK143_SY193 @ SV6 ) ) )
        = $false )
      | ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1498]) ).

thf(1626,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ ( sK140_SY162 @ SV6 ) )
        = $false )
      | ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1500]) ).

thf(1629,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1503]) ).

thf(1631,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV193 @ SV244 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1505]) ).

thf(1632,plain,
    ! [SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV245: $i] :
      ( ( ( ~ ~ ! [SY231: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV245 @ SY231 ) )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV193 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1506]) ).

thf(1633,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV194: $i] :
      ( ( ( ! [SY209: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV194 @ SY209 ) )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1507]) ).

thf(1634,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV140 @ SV195 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV140 @ SV195 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1508]) ).

thf(1635,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV246: $i] :
      ( ( ( ~ ~ ! [SY232: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV246 @ SY232 ) )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV140 @ SV195 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1509]) ).

thf(1636,plain,
    ! [SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV196: $i] :
      ( ( ( ! [SY210: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV196 @ SY210 ) )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV140 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1510]) ).

thf(1637,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV225: $i,SV141: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV141 @ SV225 ) )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1511]) ).

thf(1639,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV104 @ SV142 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1512]) ).

thf(1640,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV197: $i] :
      ( ( ( ! [SY211: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV197 @ SY211 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV104 @ SV142 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1513]) ).

thf(1641,plain,
    ! [SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV226: $i,SV143: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV143 @ SV226 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV104 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1514]) ).

thf(1644,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ~ ( SV6 @ SV73 @ SV106 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1517]) ).

thf(1646,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV227: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV247: $i] :
              ( ( SV4 @ SV227 @ SV247 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1518]) ).

thf(1647,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV227: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV227 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1518]) ).

thf(1648,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV248: $i] :
      ( ( ( ~ ~ ! [SY233: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV248 @ SY233 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1519]) ).

thf(1649,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV170 @ SV228 )
              | $true )
          | ~ ( ~ ( SV4 @ SV170 @ SV228 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1520]) ).

thf(1650,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV170 @ SV228 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1520]) ).

thf(1651,plain,
    ! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV249: $i] :
      ( ( ( ~ ~ ! [SY234: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV249 @ SY234 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1521]) ).

thf(1652,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV200: $i] :
      ( ( ( ! [SY213: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV200 @ SY213 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1522]) ).

thf(1653,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV120 @ SV171 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV120 @ SV171 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1523]) ).

thf(1654,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV250: $i] :
      ( ( ( ~ ~ ! [SY235: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV250 @ SY235 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 @ SV171 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1524]) ).

thf(1655,plain,
    ! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV201: $i] :
      ( ( ( ! [SY214: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV201 @ SY214 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1525]) ).

thf(1656,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV229: $i,SV146: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV146 @ SV229 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1526]) ).

thf(1658,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ ( sK144_SY196 @ SV6 ) ) )
        = $false )
      | ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1528]) ).

thf(1659,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ ( sK142_SY166 @ SV6 ) )
        = $false )
      | ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1530]) ).

thf(1662,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1533]) ).

thf(1664,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV202 @ SV251 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1535]) ).

thf(1665,plain,
    ! [SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV252: $i] :
      ( ( ( ~ ~ ! [SY236: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV252 @ SY236 ) )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1536]) ).

thf(1666,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV203: $i] :
      ( ( ( ! [SY216: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV203 @ SY216 ) )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1537]) ).

thf(1667,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV147 @ SV204 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV147 @ SV204 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1538]) ).

thf(1668,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV253: $i] :
      ( ( ( ~ ~ ! [SY237: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV253 @ SY237 ) )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV147 @ SV204 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1539]) ).

thf(1669,plain,
    ! [SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV205: $i] :
      ( ( ( ! [SY217: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV205 @ SY217 ) )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV147 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1540]) ).

thf(1670,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV231: $i,SV148: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV148 @ SV231 ) )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1541]) ).

thf(1672,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV108 @ SV149 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1542]) ).

thf(1673,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV206: $i] :
      ( ( ( ! [SY218: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV206 @ SY218 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV108 @ SV149 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1543]) ).

thf(1674,plain,
    ! [SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV232: $i,SV150: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV150 @ SV232 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV108 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1544]) ).

thf(1677,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV88: $i,SV64: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1548]) ).

thf(1679,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV207 @ SV254 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1550]) ).

thf(1680,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV151 @ SV208 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV151 @ SV208 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1552]) ).

thf(1682,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV110 @ SV152 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1554]) ).

thf(1685,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV90: $i,SV65: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1557]) ).

thf(1687,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV209 @ SV255 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1559]) ).

thf(1688,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV153 @ SV210 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV153 @ SV210 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1561]) ).

thf(1690,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV111 @ SV154 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1563]) ).

thf(1693,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV92: $i,SV66: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1566]) ).

thf(1695,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV211 @ SV256 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1568]) ).

thf(1696,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV155 @ SV212 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV155 @ SV212 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1570]) ).

thf(1698,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV112 @ SV156 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1572]) ).

thf(1701,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV94: $i,SV67: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1575]) ).

thf(1703,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV213 @ SV257 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1577]) ).

thf(1704,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV157 @ SV214 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV157 @ SV214 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1579]) ).

thf(1706,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV113 @ SV158 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1581]) ).

thf(1709,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV96: $i,SV68: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1584]) ).

thf(1711,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV215 @ SV258 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1586]) ).

thf(1712,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV159 @ SV216 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV159 @ SV216 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1588]) ).

thf(1714,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV114 @ SV160 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1590]) ).

thf(1717,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV98: $i,SV69: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1593]) ).

thf(1719,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV217 @ SV259 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1595]) ).

thf(1720,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV161 @ SV218 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV161 @ SV218 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1597]) ).

thf(1722,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV115 @ SV162 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1599]) ).

thf(1725,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV100: $i,SV70: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1602]) ).

thf(1727,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV219 @ SV260 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1604]) ).

thf(1728,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV163 @ SV220 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV163 @ SV220 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1606]) ).

thf(1730,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV116 @ SV164 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1608]) ).

thf(1733,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1611]) ).

thf(1735,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV221 @ SV261 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1613]) ).

thf(1736,plain,
    ! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1614]) ).

thf(1737,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV241: $i] :
      ( ( ( ~ ! [SY228: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV241 @ SY228 ) )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1615]) ).

thf(1738,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV165 @ SV222 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV165 @ SV222 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1616]) ).

thf(1739,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 @ SV222 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1617]) ).

thf(1740,plain,
    ! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV242: $i] :
      ( ( ( ~ ! [SY229: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV242 @ SY229 ) )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1618]) ).

thf(1741,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV262: $i,SV191: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV191 @ SV262 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1619]) ).

thf(1743,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV117 @ SV166 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1620]) ).

thf(1744,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV243: $i] :
      ( ( ( ~ ! [SY230: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV243 @ SY230 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 @ SV166 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1621]) ).

thf(1745,plain,
    ! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV263: $i,SV192: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV192 @ SV263 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1622]) ).

thf(1746,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV223: $i,SV139: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV139 @ SV223 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1623]) ).

thf(1747,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ ( sK143_SY193 @ SV6 ) ) )
        = $true )
      | ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1625]) ).

thf(1750,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1629]) ).

thf(1752,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV193 @ SV244 )
              | $true )
          | ~ ( ~ ( SV4 @ SV193 @ SV244 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1631]) ).

thf(1753,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV193 @ SV244 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1631]) ).

thf(1754,plain,
    ! [SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV245: $i] :
      ( ( ( ~ ! [SY231: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV245 @ SY231 ) )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV193 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1632]) ).

thf(1755,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV264: $i,SV194: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV194 @ SV264 ) )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1633]) ).

thf(1756,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV140 @ SV195 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV140 @ SV195 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1634]) ).

thf(1757,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV246: $i] :
      ( ( ( ~ ! [SY232: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV246 @ SY232 ) )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV140 @ SV195 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1635]) ).

thf(1758,plain,
    ! [SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV265: $i,SV196: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV196 @ SV265 ) )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV140 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1636]) ).

thf(1759,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV225: $i,SV141: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV141 @ SV225 )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1637]) ).

thf(1761,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV104 @ SV142 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1639]) ).

thf(1762,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV266: $i,SV197: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV197 @ SV266 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV104 @ SV142 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1640]) ).

thf(1763,plain,
    ! [SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV226: $i,SV143: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV143 @ SV226 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV104 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1641]) ).

thf(1766,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( ( SV4
               != ( ^ [SX0: $i,SX1: $i] : $true ) ) ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1644]) ).

thf(1768,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV227 @ SV267 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1646]) ).

thf(1769,plain,
    ! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1647]) ).

thf(1770,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV248: $i] :
      ( ( ( ~ ! [SY233: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV248 @ SY233 ) )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1648]) ).

thf(1771,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV170 @ SV228 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV170 @ SV228 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1649]) ).

thf(1772,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 @ SV228 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1650]) ).

thf(1773,plain,
    ! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV249: $i] :
      ( ( ( ~ ! [SY234: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV249 @ SY234 ) )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1651]) ).

thf(1774,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV268: $i,SV200: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV200 @ SV268 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1652]) ).

thf(1776,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV120 @ SV171 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1653]) ).

thf(1777,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV250: $i] :
      ( ( ( ~ ! [SY235: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV250 @ SY235 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 @ SV171 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1654]) ).

thf(1778,plain,
    ! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV269: $i,SV201: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV201 @ SV269 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1655]) ).

thf(1779,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV229: $i,SV146: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV146 @ SV229 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1656]) ).

thf(1780,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ ( sK144_SY196 @ SV6 ) ) )
        = $true )
      | ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1658]) ).

thf(1783,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1662]) ).

thf(1785,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV202 @ SV251 )
              | $true )
          | ~ ( ~ ( SV4 @ SV202 @ SV251 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1664]) ).

thf(1786,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV202 @ SV251 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1664]) ).

thf(1787,plain,
    ! [SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV252: $i] :
      ( ( ( ~ ! [SY236: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV252 @ SY236 ) )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1665]) ).

thf(1788,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV270: $i,SV203: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV203 @ SV270 ) )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1666]) ).

thf(1789,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV147 @ SV204 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV147 @ SV204 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1667]) ).

thf(1790,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV253: $i] :
      ( ( ( ~ ! [SY237: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV253 @ SY237 ) )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV147 @ SV204 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1668]) ).

thf(1791,plain,
    ! [SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV271: $i,SV205: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV205 @ SV271 ) )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV147 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1669]) ).

thf(1792,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV231: $i,SV148: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV148 @ SV231 )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1670]) ).

thf(1794,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV108 @ SV149 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1672]) ).

thf(1795,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV272: $i,SV206: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV206 @ SV272 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV108 @ SV149 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1673]) ).

thf(1796,plain,
    ! [SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV232: $i,SV150: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV150 @ SV232 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV108 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1674]) ).

thf(1799,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1677]) ).

thf(1801,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV207 @ SV254 )
              | $true )
          | ~ ( ~ ( SV4 @ SV207 @ SV254 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1679]) ).

thf(1802,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV207 @ SV254 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1679]) ).

thf(1803,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV151 @ SV208 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV151 @ SV208 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1680]) ).

thf(1805,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV110 @ SV152 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1682]) ).

thf(1808,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1685]) ).

thf(1810,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV209 @ SV255 )
              | $true )
          | ~ ( ~ ( SV4 @ SV209 @ SV255 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1687]) ).

thf(1811,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV209 @ SV255 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1687]) ).

thf(1812,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV153 @ SV210 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV153 @ SV210 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1688]) ).

thf(1814,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV111 @ SV154 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1690]) ).

thf(1817,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1693]) ).

thf(1819,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV211 @ SV256 )
              | $true )
          | ~ ( ~ ( SV4 @ SV211 @ SV256 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1695]) ).

thf(1820,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV211 @ SV256 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1695]) ).

thf(1821,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV155 @ SV212 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV155 @ SV212 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1696]) ).

thf(1823,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV112 @ SV156 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1698]) ).

thf(1826,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1701]) ).

thf(1828,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV213 @ SV257 )
              | $true )
          | ~ ( ~ ( SV4 @ SV213 @ SV257 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1703]) ).

thf(1829,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV213 @ SV257 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1703]) ).

thf(1830,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV157 @ SV214 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV157 @ SV214 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1704]) ).

thf(1832,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV113 @ SV158 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1706]) ).

thf(1835,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1709]) ).

thf(1837,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV215 @ SV258 )
              | $true )
          | ~ ( ~ ( SV4 @ SV215 @ SV258 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1711]) ).

thf(1838,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV215 @ SV258 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1711]) ).

thf(1839,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV159 @ SV216 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV159 @ SV216 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1712]) ).

thf(1841,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV114 @ SV160 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1714]) ).

thf(1844,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1717]) ).

thf(1846,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV217 @ SV259 )
              | $true )
          | ~ ( ~ ( SV4 @ SV217 @ SV259 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1719]) ).

thf(1847,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV217 @ SV259 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1719]) ).

thf(1848,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV161 @ SV218 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV161 @ SV218 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1720]) ).

thf(1850,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV115 @ SV162 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1722]) ).

thf(1853,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1725]) ).

thf(1855,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV219 @ SV260 )
              | $true )
          | ~ ( ~ ( SV4 @ SV219 @ SV260 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1727]) ).

thf(1856,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV219 @ SV260 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1727]) ).

thf(1857,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV163 @ SV220 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV163 @ SV220 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1728]) ).

thf(1859,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV116 @ SV164 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1730]) ).

thf(1862,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1733]) ).

thf(1864,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV221 @ SV261 )
              | $true )
          | ~ ( ~ ( SV4 @ SV221 @ SV261 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1735]) ).

thf(1865,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV221 @ SV261 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1735]) ).

thf(1866,plain,
    ! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV273: $i] :
      ( ( ( ~ ~ ! [SY238: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV273 @ SY238 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1736]) ).

thf(1867,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV241: $i] :
      ( ( ( ! [SY228: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV241 @ SY228 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1737]) ).

thf(1868,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV165 @ SV222 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV165 @ SV222 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1738]) ).

thf(1869,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV274: $i] :
      ( ( ( ~ ~ ! [SY239: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV274 @ SY239 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 @ SV222 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1739]) ).

thf(1870,plain,
    ! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV242: $i] :
      ( ( ( ! [SY229: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV242 @ SY229 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1740]) ).

thf(1871,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV262: $i,SV191: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV191 @ SV262 ) )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1741]) ).

thf(1873,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV117 @ SV166 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1743]) ).

thf(1874,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV243: $i] :
      ( ( ( ! [SY230: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV243 @ SY230 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 @ SV166 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1744]) ).

thf(1875,plain,
    ! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV263: $i,SV192: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV192 @ SV263 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1745]) ).

thf(1876,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ ( sK143_SY193 @ SV6 ) )
        = $false )
      | ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1747]) ).

thf(1879,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1750]) ).

thf(1881,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV193 @ SV244 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV193 @ SV244 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1752]) ).

thf(1882,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV275: $i] :
      ( ( ( ~ ~ ! [SY240: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV275 @ SY240 ) )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV193 @ SV244 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1753]) ).

thf(1883,plain,
    ! [SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV245: $i] :
      ( ( ( ! [SY231: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV245 @ SY231 ) )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV193 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1754]) ).

thf(1884,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV264: $i,SV194: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV194 @ SV264 ) )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1755]) ).

thf(1886,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV140 @ SV195 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1756]) ).

thf(1887,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV246: $i] :
      ( ( ( ! [SY232: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV246 @ SY232 ) )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV140 @ SV195 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1757]) ).

thf(1888,plain,
    ! [SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV265: $i,SV196: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV196 @ SV265 ) )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV140 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1758]) ).

thf(1891,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV104 @ SV142 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1761]) ).

thf(1893,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV266: $i,SV197: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV197 @ SV266 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV104 @ SV142 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1762]) ).

thf(1896,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4
           != ( ^ [SX0: $i,SX1: $i] : $true ) ) )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1766]) ).

thf(1898,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV227 @ SV267 )
              | $true )
          | ~ ( ~ ( SV4 @ SV227 @ SV267 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1768]) ).

thf(1899,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV227 @ SV267 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1768]) ).

thf(1900,plain,
    ! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV276: $i] :
      ( ( ( ~ ~ ! [SY241: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV276 @ SY241 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1769]) ).

thf(1901,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV248: $i] :
      ( ( ( ! [SY233: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV248 @ SY233 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1770]) ).

thf(1902,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV170 @ SV228 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV170 @ SV228 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1771]) ).

thf(1903,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV277: $i] :
      ( ( ( ~ ~ ! [SY242: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV277 @ SY242 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 @ SV228 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1772]) ).

thf(1904,plain,
    ! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV249: $i] :
      ( ( ( ! [SY234: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV249 @ SY234 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1773]) ).

thf(1905,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV268: $i,SV200: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV200 @ SV268 ) )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1774]) ).

thf(1907,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV120 @ SV171 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1776]) ).

thf(1908,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV250: $i] :
      ( ( ( ! [SY235: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV250 @ SY235 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 @ SV171 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1777]) ).

thf(1909,plain,
    ! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV269: $i,SV201: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV201 @ SV269 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1778]) ).

thf(1910,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ ( sK144_SY196 @ SV6 ) )
        = $false )
      | ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1780]) ).

thf(1913,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1783]) ).

thf(1915,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV202 @ SV251 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV202 @ SV251 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1785]) ).

thf(1916,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV278: $i] :
      ( ( ( ~ ~ ! [SY243: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV278 @ SY243 ) )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV202 @ SV251 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1786]) ).

thf(1917,plain,
    ! [SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV252: $i] :
      ( ( ( ! [SY236: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV252 @ SY236 ) )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1787]) ).

thf(1918,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV270: $i,SV203: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV203 @ SV270 ) )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1788]) ).

thf(1920,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV147 @ SV204 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1789]) ).

thf(1921,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV253: $i] :
      ( ( ( ! [SY237: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV253 @ SY237 ) )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV147 @ SV204 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1790]) ).

thf(1922,plain,
    ! [SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV271: $i,SV205: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV205 @ SV271 ) )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV147 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1791]) ).

thf(1925,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV108 @ SV149 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1794]) ).

thf(1927,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV272: $i,SV206: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV206 @ SV272 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV108 @ SV149 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1795]) ).

thf(1930,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1799]) ).

thf(1932,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV207 @ SV254 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV207 @ SV254 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1801]) ).

thf(1934,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV151 @ SV208 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1803]) ).

thf(1937,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV110 @ SV152 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1805]) ).

thf(1941,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1808]) ).

thf(1943,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV209 @ SV255 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV209 @ SV255 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1810]) ).

thf(1945,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV153 @ SV210 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1812]) ).

thf(1948,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV111 @ SV154 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1814]) ).

thf(1952,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1817]) ).

thf(1954,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV211 @ SV256 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV211 @ SV256 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1819]) ).

thf(1956,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV155 @ SV212 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1821]) ).

thf(1959,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV112 @ SV156 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1823]) ).

thf(1963,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1826]) ).

thf(1965,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV213 @ SV257 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV213 @ SV257 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1828]) ).

thf(1967,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV157 @ SV214 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1830]) ).

thf(1970,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV113 @ SV158 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1832]) ).

thf(1974,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1835]) ).

thf(1976,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV215 @ SV258 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV215 @ SV258 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1837]) ).

thf(1978,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV159 @ SV216 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1839]) ).

thf(1981,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV114 @ SV160 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1841]) ).

thf(1985,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1844]) ).

thf(1987,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV217 @ SV259 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV217 @ SV259 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1846]) ).

thf(1989,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV161 @ SV218 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1848]) ).

thf(1992,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV115 @ SV162 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1850]) ).

thf(1996,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1853]) ).

thf(1998,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV219 @ SV260 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV219 @ SV260 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1855]) ).

thf(2000,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV163 @ SV220 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1857]) ).

thf(2003,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV116 @ SV164 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1859]) ).

thf(2007,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1862]) ).

thf(2009,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV221 @ SV261 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV221 @ SV261 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1864]) ).

thf(2010,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 @ SV261 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1865]) ).

thf(2011,plain,
    ! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV273: $i] :
      ( ( ( ~ ! [SY238: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV273 @ SY238 ) )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1866]) ).

thf(2012,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV279: $i,SV241: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV241 @ SV279 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1867]) ).

thf(2014,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV165 @ SV222 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1868]) ).

thf(2015,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV274: $i] :
      ( ( ( ~ ! [SY239: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV274 @ SY239 ) )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 @ SV222 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1869]) ).

thf(2016,plain,
    ! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV280: $i,SV242: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV242 @ SV280 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1870]) ).

thf(2017,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV262: $i,SV191: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV191 @ SV262 )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1871]) ).

thf(2020,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV117 @ SV166 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1873]) ).

thf(2022,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV281: $i,SV243: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV243 @ SV281 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 @ SV166 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1874]) ).

thf(2023,plain,
    ! [SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV263: $i,SV192: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV192 @ SV263 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1875]) ).

thf(2028,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV284: $i] :
              ( ( SV4 @ SV284 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1879]) ).

thf(2029,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1879]) ).

thf(2032,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV193 @ SV244 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV193 @ SV244 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1881]) ).

thf(2033,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV275: $i] :
      ( ( ( ~ ! [SY240: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV275 @ SY240 ) )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV193 @ SV244 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1882]) ).

thf(2034,plain,
    ! [SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV286: $i,SV245: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV245 @ SV286 ) )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV193 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1883]) ).

thf(2035,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV264: $i,SV194: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV194 @ SV264 )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1884]) ).

thf(2037,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV140 @ SV195 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1886]) ).

thf(2038,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV287: $i,SV246: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV246 @ SV287 ) )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV140 @ SV195 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1887]) ).

thf(2039,plain,
    ! [SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV265: $i,SV196: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV196 @ SV265 )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV140 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1888]) ).

thf(2042,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV142: $i,SV104: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV104 @ SV142 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1891]) ).

thf(2044,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV266: $i,SV197: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV197 @ SV266 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV104 @ SV142 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1893]) ).

thf(2047,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1896]) ).

thf(2049,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV227 @ SV267 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV227 @ SV267 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1898]) ).

thf(2050,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 @ SV267 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1899]) ).

thf(2051,plain,
    ! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV276: $i] :
      ( ( ( ~ ! [SY241: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV276 @ SY241 ) )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1900]) ).

thf(2052,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV288: $i,SV248: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV248 @ SV288 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1901]) ).

thf(2054,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV170 @ SV228 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1902]) ).

thf(2055,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV277: $i] :
      ( ( ( ~ ! [SY242: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV277 @ SY242 ) )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 @ SV228 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1903]) ).

thf(2056,plain,
    ! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV289: $i,SV249: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV249 @ SV289 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1904]) ).

thf(2057,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV268: $i,SV200: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV200 @ SV268 )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1905]) ).

thf(2060,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV120 @ SV171 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1907]) ).

thf(2062,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV290: $i,SV250: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV250 @ SV290 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 @ SV171 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1908]) ).

thf(2063,plain,
    ! [SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV269: $i,SV201: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV201 @ SV269 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1909]) ).

thf(2068,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV293: $i] :
              ( ( SV4 @ SV293 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1913]) ).

thf(2069,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1913]) ).

thf(2072,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV202 @ SV251 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV202 @ SV251 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1915]) ).

thf(2073,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV278: $i] :
      ( ( ( ~ ! [SY243: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV278 @ SY243 ) )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV202 @ SV251 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1916]) ).

thf(2074,plain,
    ! [SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV295: $i,SV252: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV252 @ SV295 ) )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1917]) ).

thf(2075,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV270: $i,SV203: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV203 @ SV270 )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1918]) ).

thf(2077,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV147 @ SV204 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1920]) ).

thf(2078,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV296: $i,SV253: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV253 @ SV296 ) )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV147 @ SV204 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1921]) ).

thf(2079,plain,
    ! [SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV271: $i,SV205: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV205 @ SV271 )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV147 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1922]) ).

thf(2082,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV149: $i,SV108: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV108 @ SV149 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1925]) ).

thf(2084,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV272: $i,SV206: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV206 @ SV272 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV108 @ SV149 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1927]) ).

thf(2089,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV299: $i] :
              ( ( SV4 @ SV299 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1930]) ).

thf(2090,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1930]) ).

thf(2093,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV207 @ SV254 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV207 @ SV254 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1932]) ).

thf(2095,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV151 @ SV208 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1934]) ).

thf(2098,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV110 @ SV152 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1937]) ).

thf(2104,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV303: $i] :
              ( ( SV4 @ SV303 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1941]) ).

thf(2105,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1941]) ).

thf(2108,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV209 @ SV255 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV209 @ SV255 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1943]) ).

thf(2110,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV153 @ SV210 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1945]) ).

thf(2113,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV111 @ SV154 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1948]) ).

thf(2119,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV307: $i] :
              ( ( SV4 @ SV307 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1952]) ).

thf(2120,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1952]) ).

thf(2123,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV211 @ SV256 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV211 @ SV256 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1954]) ).

thf(2125,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV155 @ SV212 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1956]) ).

thf(2128,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV112 @ SV156 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1959]) ).

thf(2134,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV311: $i] :
              ( ( SV4 @ SV311 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1963]) ).

thf(2135,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1963]) ).

thf(2138,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV213 @ SV257 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV213 @ SV257 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1965]) ).

thf(2140,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV157 @ SV214 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1967]) ).

thf(2143,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV113 @ SV158 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1970]) ).

thf(2149,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV315: $i] :
              ( ( SV4 @ SV315 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1974]) ).

thf(2150,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1974]) ).

thf(2153,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV215 @ SV258 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV215 @ SV258 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1976]) ).

thf(2155,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV159 @ SV216 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1978]) ).

thf(2158,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV114 @ SV160 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1981]) ).

thf(2164,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV319: $i] :
              ( ( SV4 @ SV319 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1985]) ).

thf(2165,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1985]) ).

thf(2168,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV217 @ SV259 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV217 @ SV259 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1987]) ).

thf(2170,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV161 @ SV218 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1989]) ).

thf(2173,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV115 @ SV162 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1992]) ).

thf(2179,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV323: $i] :
              ( ( SV4 @ SV323 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1996]) ).

thf(2180,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1996]) ).

thf(2183,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV219 @ SV260 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV219 @ SV260 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1998]) ).

thf(2185,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV163 @ SV220 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2000]) ).

thf(2188,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV116 @ SV164 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2003]) ).

thf(2194,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV327: $i] :
              ( ( SV4 @ SV327 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2007]) ).

thf(2195,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2007]) ).

thf(2198,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV221 @ SV261 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV221 @ SV261 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2009]) ).

thf(2199,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV329: $i] :
      ( ( ( ~ ~ ! [SY284: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV329 @ SY284 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 @ SV261 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2010]) ).

thf(2200,plain,
    ! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV273: $i] :
      ( ( ( ! [SY238: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV273 @ SY238 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2011]) ).

thf(2201,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV279: $i,SV241: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV241 @ SV279 ) )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2012]) ).

thf(2203,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV165 @ SV222 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2014]) ).

thf(2204,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV274: $i] :
      ( ( ( ! [SY239: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV274 @ SY239 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 @ SV222 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2015]) ).

thf(2205,plain,
    ! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV280: $i,SV242: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV242 @ SV280 ) )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2016]) ).

thf(2208,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV166: $i,SV117: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV117 @ SV166 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2020]) ).

thf(2210,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV281: $i,SV243: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV243 @ SV281 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 @ SV166 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2022]) ).

thf(2215,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV334: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV334 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2028]) ).

thf(2216,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV335: $i] :
      ( ( ( ~ ~ ! [SY290: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV335 @ SY290 ) )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2029]) ).

thf(2220,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV193 @ SV244 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2032]) ).

thf(2221,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV275: $i] :
      ( ( ( ! [SY240: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV275 @ SY240 ) )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV193 @ SV244 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2033]) ).

thf(2222,plain,
    ! [SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV286: $i,SV245: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV245 @ SV286 ) )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV193 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2034]) ).

thf(2225,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV140 @ SV195 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2037]) ).

thf(2227,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV287: $i,SV246: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV246 @ SV287 ) )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV140 @ SV195 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2038]) ).

thf(2230,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV340: $i] :
      ( ( ( ~ ~ ! [SY295: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV340 @ SY295 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV104 @ SV142 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2042]) ).

thf(2236,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV344: $i] :
              ( ( SV4 @ SV344 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2047]) ).

thf(2237,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2047]) ).

thf(2240,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV227 @ SV267 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV227 @ SV267 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2049]) ).

thf(2241,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV346: $i] :
      ( ( ( ~ ~ ! [SY301: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV346 @ SY301 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 @ SV267 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2050]) ).

thf(2242,plain,
    ! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV276: $i] :
      ( ( ( ! [SY241: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV276 @ SY241 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2051]) ).

thf(2243,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV288: $i,SV248: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV248 @ SV288 ) )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2052]) ).

thf(2245,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV170 @ SV228 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2054]) ).

thf(2246,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV277: $i] :
      ( ( ( ! [SY242: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV277 @ SY242 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 @ SV228 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2055]) ).

thf(2247,plain,
    ! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV289: $i,SV249: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV249 @ SV289 ) )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2056]) ).

thf(2250,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV171: $i,SV120: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV120 @ SV171 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2060]) ).

thf(2252,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV290: $i,SV250: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV250 @ SV290 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 @ SV171 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2062]) ).

thf(2257,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV351: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV351 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2068]) ).

thf(2258,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV352: $i] :
      ( ( ( ~ ~ ! [SY307: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV352 @ SY307 ) )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2069]) ).

thf(2262,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV202 @ SV251 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2072]) ).

thf(2263,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV278: $i] :
      ( ( ( ! [SY243: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV278 @ SY243 ) )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV202 @ SV251 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2073]) ).

thf(2264,plain,
    ! [SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV295: $i,SV252: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV252 @ SV295 ) )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2074]) ).

thf(2267,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV147 @ SV204 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2077]) ).

thf(2269,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV296: $i,SV253: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV253 @ SV296 ) )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV147 @ SV204 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2078]) ).

thf(2272,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV357: $i] :
      ( ( ( ~ ~ ! [SY312: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV357 @ SY312 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV108 @ SV149 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2082]) ).

thf(2276,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV361 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2089]) ).

thf(2279,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV207 @ SV254 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2093]) ).

thf(2282,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV151 @ SV208 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2095]) ).

thf(2286,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV365 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2104]) ).

thf(2289,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV209 @ SV255 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2108]) ).

thf(2292,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV153 @ SV210 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2110]) ).

thf(2296,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV369 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2119]) ).

thf(2299,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV211 @ SV256 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2123]) ).

thf(2302,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV155 @ SV212 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2125]) ).

thf(2306,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV373 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2134]) ).

thf(2309,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV213 @ SV257 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2138]) ).

thf(2312,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV157 @ SV214 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2140]) ).

thf(2316,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV377 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2149]) ).

thf(2319,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV215 @ SV258 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2153]) ).

thf(2322,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV159 @ SV216 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2155]) ).

thf(2326,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV381 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2164]) ).

thf(2329,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV217 @ SV259 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2168]) ).

thf(2332,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV161 @ SV218 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2170]) ).

thf(2336,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV385 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2179]) ).

thf(2339,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV219 @ SV260 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2183]) ).

thf(2342,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV163 @ SV220 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2185]) ).

thf(2348,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV389: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV389 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2194]) ).

thf(2349,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2195]) ).

thf(2353,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV221 @ SV261 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2198]) ).

thf(2354,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV329: $i] :
      ( ( ( ~ ! [SY284: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV329 @ SY284 ) )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 @ SV261 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2199]) ).

thf(2355,plain,
    ! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV391: $i,SV273: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV273 @ SV391 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2200]) ).

thf(2356,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV279: $i,SV241: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV241 @ SV279 )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2201]) ).

thf(2359,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV165 @ SV222 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2203]) ).

thf(2361,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV392: $i,SV274: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV274 @ SV392 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 @ SV222 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2204]) ).

thf(2362,plain,
    ! [SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV280: $i,SV242: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV242 @ SV280 )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2205]) ).

thf(2365,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV117 @ SV166 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2208]) ).

thf(2367,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV281: $i,SV243: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV243 @ SV281 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV117 @ SV166 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2210]) ).

thf(2374,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV334: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV395: $i] :
              ( ( SV4 @ SV334 @ SV395 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2215]) ).

thf(2375,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV334: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV334 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2215]) ).

thf(2376,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV335: $i] :
      ( ( ( ~ ! [SY290: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV335 @ SY290 ) )
        = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2216]) ).

thf(2381,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV193 @ SV244 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2220]) ).

thf(2382,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV397: $i,SV275: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV275 @ SV397 ) )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV193 @ SV244 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2221]) ).

thf(2383,plain,
    ! [SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV286: $i,SV245: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV245 @ SV286 )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV193 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2222]) ).

thf(2386,plain,
    ! [SV61: $i,SV6: $i > $i > $o,SV5: $i,SV195: $i,SV140: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV140 @ SV195 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2225]) ).

thf(2388,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV287: $i,SV246: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV246 @ SV287 )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV140 @ SV195 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2227]) ).

thf(2391,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV340: $i] :
      ( ( ( ~ ! [SY295: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV340 @ SY295 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV104 @ SV142 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2230]) ).

thf(2397,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV400: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV400 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2236]) ).

thf(2398,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2237]) ).

thf(2402,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV227 @ SV267 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2240]) ).

thf(2403,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV346: $i] :
      ( ( ( ~ ! [SY301: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV346 @ SY301 ) )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 @ SV267 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2241]) ).

thf(2404,plain,
    ! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV402: $i,SV276: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV276 @ SV402 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2242]) ).

thf(2405,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV288: $i,SV248: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV248 @ SV288 )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2243]) ).

thf(2408,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV170 @ SV228 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2245]) ).

thf(2410,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV403: $i,SV277: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV277 @ SV403 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 @ SV228 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2246]) ).

thf(2411,plain,
    ! [SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV289: $i,SV249: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV249 @ SV289 )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2247]) ).

thf(2414,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV120 @ SV171 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2250]) ).

thf(2416,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV290: $i,SV250: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV250 @ SV290 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV120 @ SV171 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2252]) ).

thf(2423,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV351: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV406: $i] :
              ( ( SV4 @ SV351 @ SV406 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2257]) ).

thf(2424,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV351: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV351 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2257]) ).

thf(2425,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV352: $i] :
      ( ( ( ~ ! [SY307: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV352 @ SY307 ) )
        = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2258]) ).

thf(2430,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV202 @ SV251 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2262]) ).

thf(2431,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV408: $i,SV278: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV278 @ SV408 ) )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV202 @ SV251 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2263]) ).

thf(2432,plain,
    ! [SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV295: $i,SV252: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV252 @ SV295 )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV202 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2264]) ).

thf(2435,plain,
    ! [SV63: $i,SV6: $i > $i > $o,SV5: $i,SV204: $i,SV147: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV147 @ SV204 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2267]) ).

thf(2437,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV296: $i,SV253: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV253 @ SV296 )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV147 @ SV204 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2269]) ).

thf(2440,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV357: $i] :
      ( ( ( ~ ! [SY312: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV357 @ SY312 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV108 @ SV149 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2272]) ).

thf(2446,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV411: $i] :
              ( ( SV4 @ SV361 @ SV411 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2276]) ).

thf(2447,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV361 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2276]) ).

thf(2451,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV207 @ SV254 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2279]) ).

thf(2454,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV151 @ SV208 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2282]) ).

thf(2460,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV415: $i] :
              ( ( SV4 @ SV365 @ SV415 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2286]) ).

thf(2461,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV365 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2286]) ).

thf(2465,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV209 @ SV255 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2289]) ).

thf(2468,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV153 @ SV210 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2292]) ).

thf(2474,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV419: $i] :
              ( ( SV4 @ SV369 @ SV419 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2296]) ).

thf(2475,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV369 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2296]) ).

thf(2479,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV211 @ SV256 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2299]) ).

thf(2482,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV155 @ SV212 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2302]) ).

thf(2488,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV423: $i] :
              ( ( SV4 @ SV373 @ SV423 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2306]) ).

thf(2489,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV373 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2306]) ).

thf(2493,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV213 @ SV257 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2309]) ).

thf(2496,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV157 @ SV214 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2312]) ).

thf(2502,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV427: $i] :
              ( ( SV4 @ SV377 @ SV427 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2316]) ).

thf(2503,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV377 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2316]) ).

thf(2507,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV215 @ SV258 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2319]) ).

thf(2510,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV159 @ SV216 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2322]) ).

thf(2516,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV431: $i] :
              ( ( SV4 @ SV381 @ SV431 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2326]) ).

thf(2517,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV381 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2326]) ).

thf(2521,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV217 @ SV259 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2329]) ).

thf(2524,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV161 @ SV218 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2332]) ).

thf(2530,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV435: $i] :
              ( ( SV4 @ SV385 @ SV435 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2336]) ).

thf(2531,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV385 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2336]) ).

thf(2535,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV219 @ SV260 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2339]) ).

thf(2538,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV163 @ SV220 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2342]) ).

thf(2546,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV389: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV441: $i] :
              ( ( SV4 @ SV389 @ SV441 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2348]) ).

thf(2547,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV389: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV389 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2348]) ).

thf(2548,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV442: $i] :
      ( ( ( ~ ~ ! [SY352: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV442 @ SY352 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2349]) ).

thf(2553,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV221 @ SV261 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2353]) ).

thf(2554,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV329: $i] :
      ( ( ( ! [SY284: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV329 @ SY284 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 @ SV261 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2354]) ).

thf(2555,plain,
    ! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV391: $i,SV273: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV273 @ SV391 ) )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2355]) ).

thf(2558,plain,
    ! [SV71: $i,SV6: $i > $i > $o,SV5: $i,SV222: $i,SV165: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV165 @ SV222 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2359]) ).

thf(2560,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV392: $i,SV274: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV274 @ SV392 ) )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 @ SV222 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2361]) ).

thf(2563,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV447: $i] :
      ( ( ( ~ ~ ! [SY356: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV447 @ SY356 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV117 @ SV166 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2365]) ).

thf(2571,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV334 @ SV453 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2374]) ).

thf(2572,plain,
    ! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV454: $i] :
      ( ( ( ~ ~ ! [SY360: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV454 @ SY360 ) )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2375]) ).

thf(2573,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV335: $i] :
      ( ( ( ! [SY290: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV335 @ SY290 ) )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2376]) ).

thf(2579,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV193 @ SV244 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2381]) ).

thf(2581,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV397: $i,SV275: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV275 @ SV397 ) )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV193 @ SV244 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2382]) ).

thf(2584,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV459: $i] :
      ( ( ( ~ ~ ! [SY364: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV459 @ SY364 ) )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV140 @ SV195 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2386]) ).

thf(2588,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV340: $i] :
      ( ( ( ! [SY295: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV340 @ SY295 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV104 @ SV142 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2391]) ).

thf(2596,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV400: $i,SV4: $i > $i > $o] :
      ( ( ( ! [SV465: $i] :
              ( ( SV4 @ SV400 @ SV465 )
              = $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2397]) ).

thf(2597,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV400: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV400 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2397]) ).

thf(2598,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV466: $i] :
      ( ( ( ~ ~ ! [SY368: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV466 @ SY368 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2398]) ).

thf(2603,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV227 @ SV267 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2402]) ).

thf(2604,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV346: $i] :
      ( ( ( ! [SY301: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV346 @ SY301 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 @ SV267 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2403]) ).

thf(2605,plain,
    ! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV402: $i,SV276: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV276 @ SV402 ) )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2404]) ).

thf(2608,plain,
    ! [SV73: $i,SV6: $i > $i > $o,SV5: $i,SV228: $i,SV170: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV170 @ SV228 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2408]) ).

thf(2610,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV403: $i,SV277: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV277 @ SV403 ) )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 @ SV228 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2410]) ).

thf(2613,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV471: $i] :
      ( ( ( ~ ~ ! [SY372: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV471 @ SY372 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV120 @ SV171 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2414]) ).

thf(2621,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV351 @ SV477 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2423]) ).

thf(2622,plain,
    ! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV478: $i] :
      ( ( ( ~ ~ ! [SY376: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV478 @ SY376 ) )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2424]) ).

thf(2623,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV352: $i] :
      ( ( ( ! [SY307: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV352 @ SY307 ) )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2425]) ).

thf(2629,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV202 @ SV251 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2430]) ).

thf(2631,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV408: $i,SV278: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV278 @ SV408 ) )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV202 @ SV251 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2431]) ).

thf(2634,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV483: $i] :
      ( ( ( ~ ~ ! [SY380: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV483 @ SY380 ) )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV147 @ SV204 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2435]) ).

thf(2638,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV357: $i] :
      ( ( ( ! [SY312: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV357 @ SY312 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV108 @ SV149 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2440]) ).

thf(2642,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV361 @ SV487 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2446]) ).

thf(2646,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV207 @ SV254 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2451]) ).

thf(2650,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV365 @ SV491 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2460]) ).

thf(2654,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV209 @ SV255 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2465]) ).

thf(2658,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV369 @ SV495 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2474]) ).

thf(2662,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV211 @ SV256 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2479]) ).

thf(2666,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV373 @ SV499 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2488]) ).

thf(2670,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV213 @ SV257 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2493]) ).

thf(2674,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV377 @ SV503 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2502]) ).

thf(2678,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV215 @ SV258 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2507]) ).

thf(2682,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV381 @ SV507 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2516]) ).

thf(2686,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV217 @ SV259 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2521]) ).

thf(2690,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV385 @ SV511 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2530]) ).

thf(2694,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV219 @ SV260 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2535]) ).

thf(2702,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV389 @ SV515 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2546]) ).

thf(2703,plain,
    ! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2547]) ).

thf(2704,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV442: $i] :
      ( ( ( ~ ! [SY352: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV442 @ SY352 ) )
        = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2548]) ).

thf(2710,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV221 @ SV261 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2553]) ).

thf(2712,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV517: $i,SV329: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV329 @ SV517 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 @ SV261 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2554]) ).

thf(2713,plain,
    ! [SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV391: $i,SV273: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV273 @ SV391 )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2555]) ).

thf(2716,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV165 @ SV222 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2558]) ).

thf(2718,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV392: $i,SV274: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV274 @ SV392 )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV165 @ SV222 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2560]) ).

thf(2721,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV447: $i] :
      ( ( ( ~ ! [SY356: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV447 @ SY356 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV117 @ SV166 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2563]) ).

thf(2731,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV334 @ SV453 )
              | $true )
          | ~ ( ~ ( SV4 @ SV334 @ SV453 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2571]) ).

thf(2732,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV334 @ SV453 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2571]) ).

thf(2733,plain,
    ! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV454: $i] :
      ( ( ( ~ ! [SY360: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV454 @ SY360 ) )
        = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2572]) ).

thf(2734,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV520: $i,SV335: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV335 @ SV520 ) )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2573]) ).

thf(2741,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV244: $i,SV193: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV193 @ SV244 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2579]) ).

thf(2743,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV397: $i,SV275: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV275 @ SV397 )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV193 @ SV244 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2581]) ).

thf(2746,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV459: $i] :
      ( ( ( ~ ! [SY364: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV459 @ SY364 ) )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV140 @ SV195 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2584]) ).

thf(2750,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV524: $i,SV340: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV340 @ SV524 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV104 @ SV142 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2588]) ).

thf(2758,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV400 @ SV528 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2596]) ).

thf(2759,plain,
    ! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2597]) ).

thf(2760,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV466: $i] :
      ( ( ( ~ ! [SY368: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV466 @ SY368 ) )
        = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2598]) ).

thf(2766,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV227 @ SV267 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2603]) ).

thf(2768,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV530: $i,SV346: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV346 @ SV530 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 @ SV267 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2604]) ).

thf(2769,plain,
    ! [SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV402: $i,SV276: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV276 @ SV402 )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2605]) ).

thf(2772,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV170 @ SV228 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2608]) ).

thf(2774,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV403: $i,SV277: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV277 @ SV403 )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV170 @ SV228 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2610]) ).

thf(2777,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV471: $i] :
      ( ( ( ~ ! [SY372: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV471 @ SY372 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV120 @ SV171 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2613]) ).

thf(2787,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV351 @ SV477 )
              | $true )
          | ~ ( ~ ( SV4 @ SV351 @ SV477 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2621]) ).

thf(2788,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV351 @ SV477 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2621]) ).

thf(2789,plain,
    ! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV478: $i] :
      ( ( ( ~ ! [SY376: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV478 @ SY376 ) )
        = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2622]) ).

thf(2790,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV533: $i,SV352: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV352 @ SV533 ) )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2623]) ).

thf(2797,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV251: $i,SV202: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV202 @ SV251 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2629]) ).

thf(2799,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV408: $i,SV278: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV278 @ SV408 )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV202 @ SV251 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2631]) ).

thf(2802,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV483: $i] :
      ( ( ( ~ ! [SY380: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV483 @ SY380 ) )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV147 @ SV204 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2634]) ).

thf(2806,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV537: $i,SV357: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV357 @ SV537 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV108 @ SV149 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2638]) ).

thf(2812,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV361 @ SV487 )
              | $true )
          | ~ ( ~ ( SV4 @ SV361 @ SV487 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2642]) ).

thf(2813,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV361 @ SV487 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2642]) ).

thf(2818,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV207 @ SV254 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2646]) ).

thf(2824,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV365 @ SV491 )
              | $true )
          | ~ ( ~ ( SV4 @ SV365 @ SV491 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2650]) ).

thf(2825,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV365 @ SV491 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2650]) ).

thf(2830,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV209 @ SV255 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2654]) ).

thf(2836,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV369 @ SV495 )
              | $true )
          | ~ ( ~ ( SV4 @ SV369 @ SV495 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2658]) ).

thf(2837,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV369 @ SV495 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2658]) ).

thf(2842,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV211 @ SV256 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2662]) ).

thf(2848,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV373 @ SV499 )
              | $true )
          | ~ ( ~ ( SV4 @ SV373 @ SV499 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2666]) ).

thf(2849,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV373 @ SV499 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2666]) ).

thf(2854,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV213 @ SV257 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2670]) ).

thf(2860,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV377 @ SV503 )
              | $true )
          | ~ ( ~ ( SV4 @ SV377 @ SV503 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2674]) ).

thf(2861,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV377 @ SV503 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2674]) ).

thf(2866,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV215 @ SV258 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2678]) ).

thf(2872,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV381 @ SV507 )
              | $true )
          | ~ ( ~ ( SV4 @ SV381 @ SV507 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2682]) ).

thf(2873,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV381 @ SV507 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2682]) ).

thf(2878,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV217 @ SV259 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2686]) ).

thf(2884,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV385 @ SV511 )
              | $true )
          | ~ ( ~ ( SV4 @ SV385 @ SV511 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2690]) ).

thf(2885,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV385 @ SV511 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2690]) ).

thf(2890,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV219 @ SV260 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2694]) ).

thf(2900,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV389 @ SV515 )
              | $true )
          | ~ ( ~ ( SV4 @ SV389 @ SV515 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2702]) ).

thf(2901,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV389 @ SV515 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2702]) ).

thf(2902,plain,
    ! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV541: $i] :
      ( ( ( ~ ~ ! [SY384: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV541 @ SY384 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2703]) ).

thf(2903,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV442: $i] :
      ( ( ( ! [SY352: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV442 @ SY352 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2704]) ).

thf(2910,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV261: $i,SV221: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV221 @ SV261 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2710]) ).

thf(2912,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV517: $i,SV329: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV329 @ SV517 ) )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 @ SV261 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2712]) ).

thf(2915,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV545: $i] :
      ( ( ( ~ ~ ! [SY388: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV545 @ SY388 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV165 @ SV222 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2716]) ).

thf(2919,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV447: $i] :
      ( ( ( ! [SY356: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV447 @ SY356 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV117 @ SV166 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2721]) ).

thf(2929,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV334 @ SV453 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV334 @ SV453 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2731]) ).

thf(2930,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV549: $i] :
      ( ( ( ~ ~ ! [SY392: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV549 @ SY392 ) )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 @ SV453 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2732]) ).

thf(2931,plain,
    ! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV454: $i] :
      ( ( ( ! [SY360: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV454 @ SY360 ) )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2733]) ).

thf(2932,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV520: $i,SV335: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV335 @ SV520 ) )
        = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2734]) ).

thf(2939,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV553: $i] :
      ( ( ( ~ ~ ! [SY396: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV553 @ SY396 ) )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV193 @ SV244 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2741]) ).

thf(2943,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV459: $i] :
      ( ( ( ! [SY364: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV459 @ SY364 ) )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV140 @ SV195 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2746]) ).

thf(2947,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV524: $i,SV340: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV340 @ SV524 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV104 @ SV142 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2750]) ).

thf(2957,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV400 @ SV528 )
              | $true )
          | ~ ( ~ ( SV4 @ SV400 @ SV528 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2758]) ).

thf(2958,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV400 @ SV528 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2758]) ).

thf(2959,plain,
    ! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV557: $i] :
      ( ( ( ~ ~ ! [SY400: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV557 @ SY400 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2759]) ).

thf(2960,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV466: $i] :
      ( ( ( ! [SY368: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV466 @ SY368 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2760]) ).

thf(2967,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV267: $i,SV227: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV227 @ SV267 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2766]) ).

thf(2969,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV530: $i,SV346: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV346 @ SV530 ) )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 @ SV267 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2768]) ).

thf(2972,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV561: $i] :
      ( ( ( ~ ~ ! [SY404: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV561 @ SY404 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV170 @ SV228 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2772]) ).

thf(2976,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV471: $i] :
      ( ( ( ! [SY372: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV471 @ SY372 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV120 @ SV171 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2777]) ).

thf(2986,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV351 @ SV477 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV351 @ SV477 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2787]) ).

thf(2987,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV565: $i] :
      ( ( ( ~ ~ ! [SY408: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV565 @ SY408 ) )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 @ SV477 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2788]) ).

thf(2988,plain,
    ! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV478: $i] :
      ( ( ( ! [SY376: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV478 @ SY376 ) )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2789]) ).

thf(2989,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV533: $i,SV352: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV352 @ SV533 ) )
        = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2790]) ).

thf(2996,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV569: $i] :
      ( ( ( ~ ~ ! [SY412: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV569 @ SY412 ) )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV202 @ SV251 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2797]) ).

thf(3000,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV483: $i] :
      ( ( ( ! [SY380: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV483 @ SY380 ) )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV147 @ SV204 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2802]) ).

thf(3004,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV537: $i,SV357: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV357 @ SV537 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV108 @ SV149 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2806]) ).

thf(3008,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV361 @ SV487 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV361 @ SV487 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2812]) ).

thf(3012,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV365 @ SV491 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV365 @ SV491 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2824]) ).

thf(3016,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV369 @ SV495 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV369 @ SV495 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2836]) ).

thf(3020,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV373 @ SV499 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV373 @ SV499 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2848]) ).

thf(3024,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV377 @ SV503 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV377 @ SV503 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2860]) ).

thf(3028,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV381 @ SV507 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV381 @ SV507 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2872]) ).

thf(3032,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV385 @ SV511 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV385 @ SV511 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2884]) ).

thf(3042,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV389 @ SV515 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV389 @ SV515 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2900]) ).

thf(3043,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 @ SV515 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2901]) ).

thf(3044,plain,
    ! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV541: $i] :
      ( ( ( ~ ! [SY384: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV541 @ SY384 ) )
        = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2902]) ).

thf(3045,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV573: $i,SV442: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV442 @ SV573 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2903]) ).

thf(3052,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV221 @ SV261 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2910]) ).

thf(3054,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV517: $i,SV329: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV329 @ SV517 )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV221 @ SV261 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2912]) ).

thf(3057,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV545: $i] :
      ( ( ( ~ ! [SY388: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV545 @ SY388 ) )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV165 @ SV222 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2915]) ).

thf(3061,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV577: $i,SV447: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV447 @ SV577 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV117 @ SV166 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2919]) ).

thf(3071,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV334 @ SV453 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV334 @ SV453 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2929]) ).

thf(3072,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV549: $i] :
      ( ( ( ~ ! [SY392: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV549 @ SY392 ) )
        = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 @ SV453 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2930]) ).

thf(3073,plain,
    ! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV581: $i,SV454: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV454 @ SV581 ) )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2931]) ).

thf(3074,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV520: $i,SV335: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV335 @ SV520 )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2932]) ).

thf(3081,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV553: $i] :
      ( ( ( ~ ! [SY396: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV553 @ SY396 ) )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV193 @ SV244 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2939]) ).

thf(3085,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV585: $i,SV459: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV459 @ SV585 ) )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV140 @ SV195 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2943]) ).

thf(3089,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV524: $i,SV340: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV340 @ SV524 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV104 @ SV142 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2947]) ).

thf(3099,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( ( SV4 @ SV400 @ SV528 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( SV4 @ SV400 @ SV528 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2957]) ).

thf(3100,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 @ SV528 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2958]) ).

thf(3101,plain,
    ! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV557: $i] :
      ( ( ( ~ ! [SY400: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV557 @ SY400 ) )
        = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2959]) ).

thf(3102,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV589: $i,SV466: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV466 @ SV589 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2960]) ).

thf(3109,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV227 @ SV267 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2967]) ).

thf(3111,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV530: $i,SV346: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV346 @ SV530 )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV227 @ SV267 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2969]) ).

thf(3114,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV561: $i] :
      ( ( ( ~ ! [SY404: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV561 @ SY404 ) )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV170 @ SV228 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2972]) ).

thf(3118,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV593: $i,SV471: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV471 @ SV593 ) )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV120 @ SV171 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2976]) ).

thf(3128,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV351 @ SV477 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV351 @ SV477 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2986]) ).

thf(3129,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV565: $i] :
      ( ( ( ~ ! [SY408: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV565 @ SY408 ) )
        = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 @ SV477 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2987]) ).

thf(3130,plain,
    ! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV597: $i,SV478: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV478 @ SV597 ) )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2988]) ).

thf(3131,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV533: $i,SV352: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV352 @ SV533 )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2989]) ).

thf(3138,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV569: $i] :
      ( ( ( ~ ! [SY412: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV569 @ SY412 ) )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV202 @ SV251 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2996]) ).

thf(3142,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV601: $i,SV483: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV483 @ SV601 ) )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV147 @ SV204 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3000]) ).

thf(3146,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV537: $i,SV357: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV357 @ SV537 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV108 @ SV149 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3004]) ).

thf(3150,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV361 @ SV487 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV361 @ SV487 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3008]) ).

thf(3154,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV365 @ SV491 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV365 @ SV491 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3012]) ).

thf(3158,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV369 @ SV495 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV369 @ SV495 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3016]) ).

thf(3162,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV373 @ SV499 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV373 @ SV499 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3020]) ).

thf(3166,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV377 @ SV503 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV377 @ SV503 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3024]) ).

thf(3170,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV381 @ SV507 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV381 @ SV507 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3028]) ).

thf(3174,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV385 @ SV511 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV385 @ SV511 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3032]) ).

thf(3184,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV389 @ SV515 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV389 @ SV515 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3042]) ).

thf(3185,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV605: $i] :
      ( ( ( ~ ~ ! [SY416: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV605 @ SY416 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 @ SV515 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3043]) ).

thf(3186,plain,
    ! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV541: $i] :
      ( ( ( ! [SY384: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV541 @ SY384 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3044]) ).

thf(3187,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV573: $i,SV442: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV442 @ SV573 ) )
        = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3045]) ).

thf(3194,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV609: $i] :
      ( ( ( ~ ~ ! [SY420: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV609 @ SY420 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV221 @ SV261 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3052]) ).

thf(3198,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV545: $i] :
      ( ( ( ! [SY388: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV545 @ SY388 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV165 @ SV222 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3057]) ).

thf(3202,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV577: $i,SV447: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV447 @ SV577 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV117 @ SV166 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3061]) ).

thf(3213,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV334 @ SV453 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3071]) ).

thf(3214,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV549: $i] :
      ( ( ( ! [SY392: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV549 @ SY392 ) )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 @ SV453 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3072]) ).

thf(3215,plain,
    ! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV581: $i,SV454: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV454 @ SV581 ) )
        = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3073]) ).

thf(3222,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV553: $i] :
      ( ( ( ! [SY396: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV553 @ SY396 ) )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV193 @ SV244 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3081]) ).

thf(3226,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV585: $i,SV459: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV459 @ SV585 ) )
        = $false )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV140 @ SV195 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3085]) ).

thf(3236,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV400 @ SV528 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( SV4 @ SV400 @ SV528 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3099]) ).

thf(3237,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV613: $i] :
      ( ( ( ~ ~ ! [SY424: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV613 @ SY424 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 @ SV528 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3100]) ).

thf(3238,plain,
    ! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV557: $i] :
      ( ( ( ! [SY400: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV557 @ SY400 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3101]) ).

thf(3239,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV589: $i,SV466: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV466 @ SV589 ) )
        = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3102]) ).

thf(3246,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV617: $i] :
      ( ( ( ~ ~ ! [SY428: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV617 @ SY428 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV227 @ SV267 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3109]) ).

thf(3250,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV561: $i] :
      ( ( ( ! [SY404: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV561 @ SY404 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV170 @ SV228 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3114]) ).

thf(3254,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV593: $i,SV471: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV471 @ SV593 ) )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV120 @ SV171 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3118]) ).

thf(3265,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV351 @ SV477 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3128]) ).

thf(3266,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV565: $i] :
      ( ( ( ! [SY408: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV565 @ SY408 ) )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 @ SV477 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3129]) ).

thf(3267,plain,
    ! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV597: $i,SV478: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV478 @ SV597 ) )
        = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3130]) ).

thf(3274,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV569: $i] :
      ( ( ( ! [SY412: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV569 @ SY412 ) )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV202 @ SV251 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3138]) ).

thf(3278,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV601: $i,SV483: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV483 @ SV601 ) )
        = $false )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV147 @ SV204 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3142]) ).

thf(3285,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV361 @ SV487 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3150]) ).

thf(3293,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV365 @ SV491 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3154]) ).

thf(3301,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV369 @ SV495 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3158]) ).

thf(3309,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV373 @ SV499 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3162]) ).

thf(3317,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV377 @ SV503 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3166]) ).

thf(3325,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV381 @ SV507 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3170]) ).

thf(3333,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV385 @ SV511 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3174]) ).

thf(3347,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV389 @ SV515 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3184]) ).

thf(3348,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV605: $i] :
      ( ( ( ~ ! [SY416: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV605 @ SY416 ) )
        = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 @ SV515 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3185]) ).

thf(3349,plain,
    ! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV621: $i,SV541: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV541 @ SV621 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3186]) ).

thf(3350,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV573: $i,SV442: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV442 @ SV573 )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3187]) ).

thf(3358,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV609: $i] :
      ( ( ( ~ ! [SY420: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV609 @ SY420 ) )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV221 @ SV261 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3194]) ).

thf(3362,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV625: $i,SV545: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV545 @ SV625 ) )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV165 @ SV222 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3198]) ).

thf(3366,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV577: $i,SV447: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV447 @ SV577 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV117 @ SV166 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3202]) ).

thf(3377,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV334 @ SV453 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3213]) ).

thf(3378,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV629: $i,SV549: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV549 @ SV629 ) )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 @ SV453 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3214]) ).

thf(3379,plain,
    ! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV581: $i,SV454: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV454 @ SV581 )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3215]) ).

thf(3386,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV633: $i,SV553: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV553 @ SV633 ) )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV193 @ SV244 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3222]) ).

thf(3390,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV585: $i,SV459: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV459 @ SV585 )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV140 @ SV195 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3226]) ).

thf(3403,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( SV4 @ SV400 @ SV528 )
              | ~ $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3236]) ).

thf(3404,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV613: $i] :
      ( ( ( ~ ! [SY424: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV613 @ SY424 ) )
        = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 @ SV528 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3237]) ).

thf(3405,plain,
    ! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV637: $i,SV557: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV557 @ SV637 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3238]) ).

thf(3406,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV589: $i,SV466: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV466 @ SV589 )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3239]) ).

thf(3414,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV617: $i] :
      ( ( ( ~ ! [SY428: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV617 @ SY428 ) )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV227 @ SV267 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3246]) ).

thf(3418,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV641: $i,SV561: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV561 @ SV641 ) )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV170 @ SV228 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3250]) ).

thf(3422,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV593: $i,SV471: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV471 @ SV593 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV120 @ SV171 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3254]) ).

thf(3433,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV351 @ SV477 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3265]) ).

thf(3434,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV645: $i,SV565: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV565 @ SV645 ) )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 @ SV477 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3266]) ).

thf(3435,plain,
    ! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV597: $i,SV478: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV478 @ SV597 )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3267]) ).

thf(3442,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV649: $i,SV569: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV569 @ SV649 ) )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV202 @ SV251 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3274]) ).

thf(3446,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV601: $i,SV483: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV483 @ SV601 )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV147 @ SV204 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3278]) ).

thf(3453,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV361 @ SV487 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3285]) ).

thf(3461,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV365 @ SV491 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3293]) ).

thf(3469,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV369 @ SV495 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3301]) ).

thf(3477,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV373 @ SV499 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3309]) ).

thf(3485,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV377 @ SV503 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3317]) ).

thf(3493,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV381 @ SV507 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3325]) ).

thf(3501,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV385 @ SV511 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3333]) ).

thf(3513,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV389 @ SV515 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3347]) ).

thf(3514,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV605: $i] :
      ( ( ( ! [SY416: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV605 @ SY416 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 @ SV515 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3348]) ).

thf(3515,plain,
    ! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV621: $i,SV541: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV541 @ SV621 ) )
        = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3349]) ).

thf(3522,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV609: $i] :
      ( ( ( ! [SY420: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV609 @ SY420 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV221 @ SV261 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3358]) ).

thf(3526,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV625: $i,SV545: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV545 @ SV625 ) )
        = $false )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV165 @ SV222 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3362]) ).

thf(3540,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV334 @ SV453 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3377]) ).

thf(3542,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV629: $i,SV549: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV549 @ SV629 ) )
        = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 @ SV453 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3378]) ).

thf(3550,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV633: $i,SV553: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV553 @ SV633 ) )
        = $false )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV193 @ SV244 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3386]) ).

thf(3561,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV400 @ SV528 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[3403]) ).

thf(3562,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV613: $i] :
      ( ( ( ! [SY424: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV613 @ SY424 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 @ SV528 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3404]) ).

thf(3563,plain,
    ! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV637: $i,SV557: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV557 @ SV637 ) )
        = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3405]) ).

thf(3570,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV617: $i] :
      ( ( ( ! [SY428: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV617 @ SY428 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV227 @ SV267 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3414]) ).

thf(3574,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV641: $i,SV561: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV561 @ SV641 ) )
        = $false )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV170 @ SV228 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3418]) ).

thf(3588,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV351 @ SV477 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[3433]) ).

thf(3590,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV645: $i,SV565: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV565 @ SV645 ) )
        = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 @ SV477 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3434]) ).

thf(3598,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV649: $i,SV569: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV569 @ SV649 ) )
        = $false )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV202 @ SV251 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3442]) ).

thf(3610,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV361 @ SV487 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3453]) ).

thf(3626,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV365 @ SV491 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3461]) ).

thf(3642,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV369 @ SV495 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3469]) ).

thf(3658,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV373 @ SV499 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3477]) ).

thf(3674,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV377 @ SV503 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3485]) ).

thf(3690,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV381 @ SV507 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3493]) ).

thf(3706,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV385 @ SV511 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3501]) ).

thf(3726,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV389 @ SV515 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3513]) ).

thf(3728,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV653: $i,SV605: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV605 @ SV653 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 @ SV515 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3514]) ).

thf(3729,plain,
    ! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV621: $i,SV541: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV541 @ SV621 )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3515]) ).

thf(3738,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV657: $i,SV609: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV609 @ SV657 ) )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV221 @ SV261 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3522]) ).

thf(3742,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV625: $i,SV545: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV545 @ SV625 )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV165 @ SV222 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3526]) ).

thf(3756,plain,
    ! [SV83: $i,SV61: $i,SV6: $i > $i > $o,SV5: $i,SV453: $i,SV334: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV334 @ SV453 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3540]) ).

thf(3758,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV629: $i,SV549: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV549 @ SV629 )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 @ SV453 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3542]) ).

thf(3766,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV633: $i,SV553: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV553 @ SV633 )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV193 @ SV244 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3550]) ).

thf(3782,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
      ( ( ( ~ ( SV4 @ SV400 @ SV528 ) )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3561]) ).

thf(3784,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV661: $i,SV613: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV613 @ SV661 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 @ SV528 )
          = $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3562]) ).

thf(3785,plain,
    ! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV637: $i,SV557: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV557 @ SV637 )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3563]) ).

thf(3794,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV665: $i,SV617: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV617 @ SV665 ) )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV227 @ SV267 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3570]) ).

thf(3798,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV641: $i,SV561: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV561 @ SV641 )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV170 @ SV228 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3574]) ).

thf(3812,plain,
    ! [SV86: $i,SV63: $i,SV6: $i > $i > $o,SV5: $i,SV477: $i,SV351: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV351 @ SV477 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3588]) ).

thf(3814,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV645: $i,SV565: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV565 @ SV645 )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 @ SV477 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3590]) ).

thf(3822,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV649: $i,SV569: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV569 @ SV649 )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV202 @ SV251 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3598]) ).

thf(3834,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV361 @ SV487 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3610]) ).

thf(3850,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV365 @ SV491 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3626]) ).

thf(3866,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV369 @ SV495 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3642]) ).

thf(3882,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV373 @ SV499 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3658]) ).

thf(3898,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV377 @ SV503 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3674]) ).

thf(3914,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV381 @ SV507 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3690]) ).

thf(3930,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV385 @ SV511 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3706]) ).

thf(3948,plain,
    ! [SV102: $i,SV71: $i,SV6: $i > $i > $o,SV5: $i,SV515: $i,SV389: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV389 @ SV515 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3726]) ).

thf(3950,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV653: $i,SV605: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV605 @ SV653 ) )
        = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 @ SV515 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3728]) ).

thf(3958,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV657: $i,SV609: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV609 @ SV657 ) )
        = $false )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV221 @ SV261 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3738]) ).

thf(3970,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV677: $i] :
      ( ( ( ~ ~ ! [SY440: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV677 @ SY440 ) )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV334 @ SV453 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3756]) ).

thf(3988,plain,
    ! [SV106: $i,SV73: $i,SV6: $i > $i > $o,SV5: $i,SV528: $i,SV400: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV400 @ SV528 )
        = $true )
      | ( $true = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( ~ ! [SX0: $i] :
                ~ ~ ! [SX1: $i] :
                      ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3782]) ).

thf(3990,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV661: $i,SV613: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV613 @ SV661 ) )
        = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 @ SV528 )
          = $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3784]) ).

thf(3998,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV665: $i,SV617: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV617 @ SV665 ) )
        = $false )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV227 @ SV267 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3794]) ).

thf(4010,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV693: $i] :
      ( ( ( ~ ~ ! [SY456: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV693 @ SY456 ) )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV351 @ SV477 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[3812]) ).

thf(4028,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( likes_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV389 @ SV515 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3948]) ).

thf(4030,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV653: $i,SV605: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV605 @ SV653 )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 @ SV515 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3950]) ).

thf(4038,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV657: $i,SV609: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV609 @ SV657 )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV221 @ SV261 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3958]) ).

thf(4050,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV677: $i] :
      ( ( ( ~ ! [SY440: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV677 @ SY440 ) )
        = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV334 @ SV453 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[3970]) ).

thf(4068,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o] :
      ( ( ( ! [SX0: $i] :
              ~ ~ ! [SX1: $i] :
                    ~ ~ ( parent_THFTYPE_IiioI @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV400 @ SV528 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3988]) ).

thf(4070,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV661: $i,SV613: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV613 @ SV661 )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 @ SV528 )
          = $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3990]) ).

thf(4078,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV665: $i,SV617: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV617 @ SV665 )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV227 @ SV267 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[3998]) ).

thf(4090,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV693: $i] :
      ( ( ( ~ ! [SY456: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV693 @ SY456 ) )
        = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV351 @ SV477 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4010]) ).

thf(4106,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV709: $i] :
      ( ( ( ~ ~ ! [SY472: $i] :
                  ~ ~ ( likes_THFTYPE_IiioI @ SV709 @ SY472 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV389 @ SV515 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4028]) ).

thf(4122,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV677: $i] :
      ( ( ( ! [SY440: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV677 @ SY440 ) )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV334 @ SV453 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4050]) ).

thf(4138,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV725: $i] :
      ( ( ( ~ ~ ! [SY488: $i] :
                  ~ ~ ( parent_THFTYPE_IiioI @ SV725 @ SY488 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV400 @ SV528 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4068]) ).

thf(4154,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV693: $i] :
      ( ( ( ! [SY456: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV693 @ SY456 ) )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV351 @ SV477 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4090]) ).

thf(4170,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV709: $i] :
      ( ( ( ~ ! [SY472: $i] :
                ~ ~ ( likes_THFTYPE_IiioI @ SV709 @ SY472 ) )
        = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV389 @ SV515 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4106]) ).

thf(4186,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV741: $i,SV677: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV677 @ SV741 ) )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV334 @ SV453 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4122]) ).

thf(4202,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV725: $i] :
      ( ( ( ~ ! [SY488: $i] :
                ~ ~ ( parent_THFTYPE_IiioI @ SV725 @ SY488 ) )
        = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV400 @ SV528 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4138]) ).

thf(4218,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV757: $i,SV693: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV693 @ SV757 ) )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV351 @ SV477 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4154]) ).

thf(4234,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV709: $i] :
      ( ( ( ! [SY472: $i] :
              ~ ~ ( likes_THFTYPE_IiioI @ SV709 @ SY472 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV389 @ SV515 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4170]) ).

thf(4250,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV741: $i,SV677: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV677 @ SV741 ) )
        = $false )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV334 @ SV453 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4186]) ).

thf(4266,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV725: $i] :
      ( ( ( ! [SY488: $i] :
              ~ ~ ( parent_THFTYPE_IiioI @ SV725 @ SY488 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV400 @ SV528 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4202]) ).

thf(4282,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV757: $i,SV693: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV693 @ SV757 ) )
        = $false )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV351 @ SV477 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4218]) ).

thf(4298,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV773: $i,SV709: $i] :
      ( ( ( ~ ~ ( likes_THFTYPE_IiioI @ SV709 @ SV773 ) )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV389 @ SV515 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4234]) ).

thf(4314,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV741: $i,SV677: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV677 @ SV741 )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV334 @ SV453 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4250]) ).

thf(4330,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV789: $i,SV725: $i] :
      ( ( ( ~ ~ ( parent_THFTYPE_IiioI @ SV725 @ SV789 ) )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV400 @ SV528 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[4266]) ).

thf(4346,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV757: $i,SV693: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV693 @ SV757 )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV351 @ SV477 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4282]) ).

thf(4362,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV773: $i,SV709: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ SV709 @ SV773 ) )
        = $false )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV389 @ SV515 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4298]) ).

thf(4378,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV789: $i,SV725: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV725 @ SV789 ) )
        = $false )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV400 @ SV528 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4330]) ).

thf(4394,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV773: $i,SV709: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV709 @ SV773 )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV389 @ SV515 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4362]) ).

thf(4410,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV789: $i,SV725: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV725 @ SV789 )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( $true = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( $true = $false )
      | ( ( SV4 @ SV400 @ SV528 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4378]) ).

thf(4416,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV361 @ SV487 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3834]) ).

thf(4417,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV487: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV361 @ SV487 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2813]) ).

thf(4418,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV361: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV361 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2447]) ).

thf(4419,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV64 @ SV88 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2090]) ).

thf(4420,plain,
    ! [SV88: $i,SV64: $i,SV6: $i > $i > $o,SV5: $i,SV254: $i,SV207: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV207 @ SV254 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 @ SV88 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2818]) ).

thf(4421,plain,
    ! [SV64: $i,SV6: $i > $i > $o,SV5: $i,SV208: $i,SV151: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV151 @ SV208 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV64 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2454]) ).

thf(4422,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV152: $i,SV110: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV110 @ SV152 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2098]) ).

thf(4423,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK39_SV31 @ SV6 ) @ ( sK66_SV42 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1098]) ).

thf(4424,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK9_SV9 @ SV4 ) @ ( sK24_SV20 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[851]) ).

thf(4425,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV365 @ SV491 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3850]) ).

thf(4426,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV491: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV365 @ SV491 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2825]) ).

thf(4427,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV365: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV365 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2461]) ).

thf(4428,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV65 @ SV90 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2105]) ).

thf(4429,plain,
    ! [SV90: $i,SV65: $i,SV6: $i > $i > $o,SV5: $i,SV255: $i,SV209: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV209 @ SV255 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 @ SV90 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2830]) ).

thf(4430,plain,
    ! [SV65: $i,SV6: $i > $i > $o,SV5: $i,SV210: $i,SV153: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV153 @ SV210 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV65 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2468]) ).

thf(4431,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV154: $i,SV111: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV111 @ SV154 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2113]) ).

thf(4432,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK40_SV32 @ SV6 ) @ ( sK67_SV43 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1103]) ).

thf(4433,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK10_SV10 @ SV4 ) @ ( sK25_SV21 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[856]) ).

thf(4434,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV369 @ SV495 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3866]) ).

thf(4435,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV495: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV369 @ SV495 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2837]) ).

thf(4436,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV369: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV369 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2475]) ).

thf(4437,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV66 @ SV92 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2120]) ).

thf(4438,plain,
    ! [SV92: $i,SV66: $i,SV6: $i > $i > $o,SV5: $i,SV256: $i,SV211: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV211 @ SV256 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 @ SV92 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2842]) ).

thf(4439,plain,
    ! [SV66: $i,SV6: $i > $i > $o,SV5: $i,SV212: $i,SV155: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV155 @ SV212 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV66 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2482]) ).

thf(4440,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV156: $i,SV112: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV112 @ SV156 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2128]) ).

thf(4441,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK41_SV33 @ SV6 ) @ ( sK68_SV44 @ SV6 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1108]) ).

thf(4442,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK11_SV11 @ SV4 ) @ ( sK26_SV22 @ SV4 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[861]) ).

thf(4443,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV373 @ SV499 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3882]) ).

thf(4444,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV499: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV373 @ SV499 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2849]) ).

thf(4445,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV373: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV373 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2489]) ).

thf(4446,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV67 @ SV94 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2135]) ).

thf(4447,plain,
    ! [SV94: $i,SV67: $i,SV6: $i > $i > $o,SV5: $i,SV257: $i,SV213: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV213 @ SV257 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 @ SV94 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2854]) ).

thf(4448,plain,
    ! [SV67: $i,SV6: $i > $i > $o,SV5: $i,SV214: $i,SV157: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV157 @ SV214 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV67 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2496]) ).

thf(4449,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV158: $i,SV113: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV113 @ SV158 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2143]) ).

thf(4450,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK42_SV34 @ SV6 ) @ ( sK69_SV45 @ SV6 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1113]) ).

thf(4451,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK12_SV12 @ SV4 ) @ ( sK27_SV23 @ SV4 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[866]) ).

thf(4452,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV377 @ SV503 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3898]) ).

thf(4453,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV503: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV377 @ SV503 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2861]) ).

thf(4454,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV377: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV377 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2503]) ).

thf(4455,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV68 @ SV96 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2150]) ).

thf(4456,plain,
    ! [SV96: $i,SV68: $i,SV6: $i > $i > $o,SV5: $i,SV258: $i,SV215: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV215 @ SV258 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 @ SV96 )
          = $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2866]) ).

thf(4457,plain,
    ! [SV68: $i,SV6: $i > $i > $o,SV5: $i,SV216: $i,SV159: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV159 @ SV216 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV68 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2510]) ).

thf(4458,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV160: $i,SV114: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV114 @ SV160 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2158]) ).

thf(4459,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK43_SV35 @ SV6 ) @ ( sK70_SV46 @ SV6 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1118]) ).

thf(4460,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK13_SV13 @ SV4 ) @ ( sK28_SV24 @ SV4 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[871]) ).

thf(4461,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV381 @ SV507 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3914]) ).

thf(4462,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV507: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV381 @ SV507 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2873]) ).

thf(4463,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV381: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV381 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2517]) ).

thf(4464,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV69 @ SV98 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2165]) ).

thf(4465,plain,
    ! [SV98: $i,SV69: $i,SV6: $i > $i > $o,SV5: $i,SV259: $i,SV217: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV217 @ SV259 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 @ SV98 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2878]) ).

thf(4466,plain,
    ! [SV69: $i,SV6: $i > $i > $o,SV5: $i,SV218: $i,SV161: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV161 @ SV218 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV69 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2524]) ).

thf(4467,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV162: $i,SV115: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV115 @ SV162 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2173]) ).

thf(4468,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK44_SV36 @ SV6 ) @ ( sK71_SV47 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1123]) ).

thf(4469,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK14_SV14 @ SV4 ) @ ( sK29_SV25 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[876]) ).

thf(4470,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV385 @ SV511 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[3930]) ).

thf(4471,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV511: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV385 @ SV511 )
          = $true )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2885]) ).

thf(4472,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV385: $i,SV4: $i > $i > $o] :
      ( ( ( ( SV4 @ SV385 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2531]) ).

thf(4473,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV4: $i > $i > $o] :
      ( ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV70 @ SV100 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2180]) ).

thf(4474,plain,
    ! [SV100: $i,SV70: $i,SV6: $i > $i > $o,SV5: $i,SV260: $i,SV219: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV219 @ SV260 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 @ SV100 )
          = $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2890]) ).

thf(4475,plain,
    ! [SV70: $i,SV6: $i > $i > $o,SV5: $i,SV220: $i,SV163: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV163 @ SV220 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ( SV6 @ SV70 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2538]) ).

thf(4476,plain,
    ! [SV6: $i > $i > $o,SV5: $i,SV164: $i,SV116: $i,SV4: $i > $i > $o] :
      ( ( ( SV4 @ SV116 @ SV164 )
        = $true )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(sim,[status(thm)],[2188]) ).

thf(4477,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( SV6 @ ( sK45_SV37 @ SV6 ) @ ( sK72_SV48 @ SV6 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[1128]) ).

thf(4478,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( SV4 @ ( sK15_SV15 @ SV4 ) @ ( sK30_SV26 @ SV4 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[881]) ).

thf(4479,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV773: $i,SV709: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV709 @ SV773 )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV389 @ SV515 )
        = $true ) ),
    inference(sim,[status(thm)],[4394]) ).

thf(4480,plain,
    ! [SV515: $i,SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV653: $i,SV605: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV605 @ SV653 )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 @ SV515 )
          = $true )
        = $true ) ),
    inference(sim,[status(thm)],[4030]) ).

thf(4481,plain,
    ! [SV389: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV621: $i,SV541: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV541 @ SV621 )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV389 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3729]) ).

thf(4482,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV573: $i,SV442: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV442 @ SV573 )
        = $true )
      | ( ( SV6 @ SV71 @ SV102 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3350]) ).

thf(4483,plain,
    ! [SV261: $i,SV221: $i,SV4: $i > $i > $o,SV5: $i,SV102: $i,SV71: $i,SV6: $i > $i > $o,SV657: $i,SV609: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV609 @ SV657 )
        = $true )
      | ( ( ( SV6 @ SV71 @ SV102 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV221 @ SV261 )
        = $true ) ),
    inference(sim,[status(thm)],[4038]) ).

thf(4484,plain,
    ! [SV222: $i,SV165: $i,SV4: $i > $i > $o,SV5: $i,SV71: $i,SV6: $i > $i > $o,SV625: $i,SV545: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV545 @ SV625 )
        = $true )
      | ( ( ( SV6 @ SV71 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV165 @ SV222 )
        = $true ) ),
    inference(sim,[status(thm)],[3742]) ).

thf(4485,plain,
    ! [SV166: $i,SV117: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV577: $i,SV447: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV447 @ SV577 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV117 @ SV166 )
        = $true ) ),
    inference(sim,[status(thm)],[3366]) ).

thf(4486,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK135_SX0 @ SV6 ) @ ( sK143_SY193 @ SV6 ) )
        = $false )
      | ( ( SV6 @ ( sK46_SV38 @ SV6 ) @ ( sK75_SV49 @ SV6 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1876]) ).

thf(4487,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK121_SX0 @ SV4 ) @ ( sK136_SY146 @ SV4 ) )
        = $false )
      | ( ( SV4 @ ( sK16_SV16 @ SV4 ) @ ( sK31_SV27 @ SV4 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1499]) ).

thf(4488,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK126_SX0 @ SV6 ) @ ( sK140_SY162 @ SV6 ) )
        = $false )
      | ( ( SV6 @ ( sK32_SV28 @ SV6 ) @ ( sK58_SV40 @ SV6 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1626]) ).

thf(4489,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ ( sK106_SX0 @ SV4 ) @ ( sK127_SY129 @ SV4 ) )
        = $false )
      | ( ( SV4 @ ( sK5_SV7 @ SV4 ) @ ( sK19_SV18 @ SV4 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1303]) ).

thf(4490,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV741: $i,SV677: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV677 @ SV741 )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV334 @ SV453 )
        = $true ) ),
    inference(sim,[status(thm)],[4314]) ).

thf(4491,plain,
    ! [SV453: $i,SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV629: $i,SV549: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV549 @ SV629 )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 @ SV453 )
          = $true )
        = $true ) ),
    inference(sim,[status(thm)],[3758]) ).

thf(4492,plain,
    ! [SV334: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV581: $i,SV454: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV454 @ SV581 )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV334 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3379]) ).

thf(4493,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV520: $i,SV335: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV335 @ SV520 )
        = $true )
      | ( ( SV6 @ SV61 @ SV83 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3074]) ).

thf(4494,plain,
    ! [SV244: $i,SV193: $i,SV4: $i > $i > $o,SV5: $i,SV83: $i,SV61: $i,SV6: $i > $i > $o,SV633: $i,SV553: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV553 @ SV633 )
        = $true )
      | ( ( ( SV6 @ SV61 @ SV83 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV193 @ SV244 )
        = $true ) ),
    inference(sim,[status(thm)],[3766]) ).

thf(4495,plain,
    ! [SV195: $i,SV140: $i,SV4: $i > $i > $o,SV5: $i,SV61: $i,SV6: $i > $i > $o,SV585: $i,SV459: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV459 @ SV585 )
        = $true )
      | ( ( ( SV6 @ SV61 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV140 @ SV195 )
        = $true ) ),
    inference(sim,[status(thm)],[3390]) ).

thf(4496,plain,
    ! [SV142: $i,SV104: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV524: $i,SV340: $i] :
      ( ( ( likes_THFTYPE_IiioI @ SV340 @ SV524 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV104 @ SV142 )
        = $true ) ),
    inference(sim,[status(thm)],[3089]) ).

thf(4497,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV789: $i,SV725: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV725 @ SV789 )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV400 @ SV528 )
        = $true ) ),
    inference(sim,[status(thm)],[4410]) ).

thf(4498,plain,
    ! [SV528: $i,SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV661: $i,SV613: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV613 @ SV661 )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 @ SV528 )
          = $true )
        = $true ) ),
    inference(sim,[status(thm)],[4070]) ).

thf(4499,plain,
    ! [SV400: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV637: $i,SV557: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV557 @ SV637 )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV400 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3785]) ).

thf(4500,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV589: $i,SV466: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV466 @ SV589 )
        = $true )
      | ( ( SV6 @ SV73 @ SV106 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3406]) ).

thf(4501,plain,
    ! [SV267: $i,SV227: $i,SV4: $i > $i > $o,SV5: $i,SV106: $i,SV73: $i,SV6: $i > $i > $o,SV665: $i,SV617: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV617 @ SV665 )
        = $true )
      | ( ( ( SV6 @ SV73 @ SV106 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV227 @ SV267 )
        = $true ) ),
    inference(sim,[status(thm)],[4078]) ).

thf(4502,plain,
    ! [SV228: $i,SV170: $i,SV4: $i > $i > $o,SV5: $i,SV73: $i,SV6: $i > $i > $o,SV641: $i,SV561: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV561 @ SV641 )
        = $true )
      | ( ( ( SV6 @ SV73 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV170 @ SV228 )
        = $true ) ),
    inference(sim,[status(thm)],[3798]) ).

thf(4503,plain,
    ! [SV171: $i,SV120: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV593: $i,SV471: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV471 @ SV593 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV120 @ SV171 )
        = $true ) ),
    inference(sim,[status(thm)],[3422]) ).

thf(4504,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK137_SX0 @ SV6 ) @ ( sK144_SY196 @ SV6 ) )
        = $false )
      | ( ( SV6 @ ( sK51_SV39 @ SV6 ) @ ( sK80_SV50 @ SV6 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1910]) ).

thf(4505,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK122_SX0 @ SV4 ) @ ( sK138_SY150 @ SV4 ) )
        = $false )
      | ( ( SV4 @ ( sK17_SV17 @ SV4 ) @ ( sK35_SV29 @ SV4 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1529]) ).

thf(4506,plain,
    ! [SV6: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK131_SX0 @ SV6 ) @ ( sK142_SY166 @ SV6 ) )
        = $false )
      | ( ( SV6 @ ( sK36_SV30 @ SV6 ) @ ( sK63_SV41 @ SV6 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1659]) ).

thf(4507,plain,
    ! [SV4: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ ( sK112_SX0 @ SV4 ) @ ( sK132_SY133 @ SV4 ) )
        = $false )
      | ( ( SV4 @ ( sK7_SV8 @ SV4 ) @ ( sK22_SV19 @ SV4 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1329]) ).

thf(4508,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV757: $i,SV693: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV693 @ SV757 )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV351 @ SV477 )
        = $true ) ),
    inference(sim,[status(thm)],[4346]) ).

thf(4509,plain,
    ! [SV477: $i,SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV645: $i,SV565: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV565 @ SV645 )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 @ SV477 )
          = $true )
        = $true ) ),
    inference(sim,[status(thm)],[3814]) ).

thf(4510,plain,
    ! [SV351: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV597: $i,SV478: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV478 @ SV597 )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ( SV4 @ SV351 )
          = ( ^ [SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3435]) ).

thf(4511,plain,
    ! [SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV533: $i,SV352: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV352 @ SV533 )
        = $true )
      | ( ( SV6 @ SV63 @ SV86 )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true ) ),
    inference(sim,[status(thm)],[3131]) ).

thf(4512,plain,
    ! [SV251: $i,SV202: $i,SV4: $i > $i > $o,SV5: $i,SV86: $i,SV63: $i,SV6: $i > $i > $o,SV649: $i,SV569: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV569 @ SV649 )
        = $true )
      | ( ( ( SV6 @ SV63 @ SV86 )
          = $true )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV202 @ SV251 )
        = $true ) ),
    inference(sim,[status(thm)],[3822]) ).

thf(4513,plain,
    ! [SV204: $i,SV147: $i,SV4: $i > $i > $o,SV5: $i,SV63: $i,SV6: $i > $i > $o,SV601: $i,SV483: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV483 @ SV601 )
        = $true )
      | ( ( ( SV6 @ SV63 )
          = ( ^ [SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV147 @ SV204 )
        = $true ) ),
    inference(sim,[status(thm)],[3446]) ).

thf(4514,plain,
    ! [SV149: $i,SV108: $i,SV4: $i > $i > $o,SV5: $i,SV6: $i > $i > $o,SV537: $i,SV357: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV357 @ SV537 )
        = $true )
      | ( ( SV6
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $true )
      | ( ( SV6 @ SV5 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV5 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV4 @ SV108 @ SV149 )
        = $true ) ),
    inference(sim,[status(thm)],[3146]) ).

thf(4515,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( SV795
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(rename,[status(thm)],[204]) ).

thf(4528,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( ! [SV796: $i] :
              ( ( SV795 @ SV796 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4515]) ).

thf(4529,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( SV795
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4515]) ).

thf(4530,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( ( SV795 @ ( sK145_SV796 @ SV795 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4528]) ).

thf(4531,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( ! [SV797: $i] :
              ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ SV797 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4530]) ).

thf(4532,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( ( SV795 @ ( sK145_SV796 @ SV795 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4530]) ).

thf(4533,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4531]) ).

thf(4534,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( ~ ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
              | $true )
          | ~ ( ~ ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4533]) ).

thf(4535,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4533]) ).

thf(4537,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4534]) ).

thf(4539,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( ~ ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4537]) ).

thf(4541,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( ~ ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4539]) ).

thf(4542,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4541]) ).

thf(4543,plain,
    ! [SV795: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4542]) ).

thf(4544,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4535:[bind(SV795,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4545,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4532:[bind(SV795,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4546,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4529:[bind(SV795,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4547,plain,
    ! [SV795: $i > $i > $o] :
      ( ( ( SV795 @ ( sK145_SV796 @ SV795 ) @ ( sK146_SV797 @ SV795 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[4543]) ).

thf(4548,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( SV806
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(rename,[status(thm)],[209]) ).

thf(4563,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( ! [SV807: $i] :
              ( ( SV806 @ SV807 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4548]) ).

thf(4564,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( SV806
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4548]) ).

thf(4565,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( ( SV806 @ ( sK152_SV807 @ SV806 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4563]) ).

thf(4566,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( ! [SV808: $i] :
              ( ( SV806 @ ( sK152_SV807 @ SV806 ) @ SV808 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4565]) ).

thf(4567,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( ( SV806 @ ( sK152_SV807 @ SV806 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4565]) ).

thf(4568,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( ( SV806 @ ( sK152_SV807 @ SV806 ) @ ( sK153_SV808 @ SV806 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4566]) ).

thf(4569,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( ~ ( ( SV806 @ ( sK152_SV807 @ SV806 ) @ ( sK153_SV808 @ SV806 ) )
              | $true )
          | ~ ( ~ ( SV806 @ ( sK152_SV807 @ SV806 ) @ ( sK153_SV808 @ SV806 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4568]) ).

thf(4570,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( ( SV806 @ ( sK152_SV807 @ SV806 ) @ ( sK153_SV808 @ SV806 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4568]) ).

thf(4572,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV806 @ ( sK152_SV807 @ SV806 ) @ ( sK153_SV808 @ SV806 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4569]) ).

thf(4574,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( ~ ( SV806 @ ( sK152_SV807 @ SV806 ) @ ( sK153_SV808 @ SV806 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4572]) ).

thf(4576,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( ~ ( SV806 @ ( sK152_SV807 @ SV806 ) @ ( sK153_SV808 @ SV806 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4574]) ).

thf(4577,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( SV806 @ ( sK152_SV807 @ SV806 ) @ ( sK153_SV808 @ SV806 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4576]) ).

thf(4578,plain,
    ! [SV806: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV806 @ ( sK152_SV807 @ SV806 ) @ ( sK153_SV808 @ SV806 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4577]) ).

thf(4579,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4570:[bind(SV806,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4580,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4567:[bind(SV806,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4581,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4564:[bind(SV806,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4582,plain,
    ! [SV806: $i > $i > $o] :
      ( ( ( SV806 @ ( sK152_SV807 @ SV806 ) @ ( sK153_SV808 @ SV806 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[4578]) ).

thf(4583,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( SV817
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(rename,[status(thm)],[214]) ).

thf(4600,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( ! [SV818: $i] :
              ( ( SV817 @ SV818 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4583]) ).

thf(4601,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( SV817
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4583]) ).

thf(4602,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( ( SV817 @ ( sK163_SV818 @ SV817 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4600]) ).

thf(4603,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( ! [SV819: $i] :
              ( ( SV817 @ ( sK163_SV818 @ SV817 ) @ SV819 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4602]) ).

thf(4604,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( ( SV817 @ ( sK163_SV818 @ SV817 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4602]) ).

thf(4605,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( ( SV817 @ ( sK163_SV818 @ SV817 ) @ ( sK164_SV819 @ SV817 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4603]) ).

thf(4606,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( ~ ( ( SV817 @ ( sK163_SV818 @ SV817 ) @ ( sK164_SV819 @ SV817 ) )
              | $true )
          | ~ ( ~ ( SV817 @ ( sK163_SV818 @ SV817 ) @ ( sK164_SV819 @ SV817 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4605]) ).

thf(4607,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( ( SV817 @ ( sK163_SV818 @ SV817 ) @ ( sK164_SV819 @ SV817 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4605]) ).

thf(4609,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV817 @ ( sK163_SV818 @ SV817 ) @ ( sK164_SV819 @ SV817 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4606]) ).

thf(4611,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( ~ ( SV817 @ ( sK163_SV818 @ SV817 ) @ ( sK164_SV819 @ SV817 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4609]) ).

thf(4613,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( ~ ( SV817 @ ( sK163_SV818 @ SV817 ) @ ( sK164_SV819 @ SV817 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4611]) ).

thf(4614,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( SV817 @ ( sK163_SV818 @ SV817 ) @ ( sK164_SV819 @ SV817 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4613]) ).

thf(4615,plain,
    ! [SV817: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV817 @ ( sK163_SV818 @ SV817 ) @ ( sK164_SV819 @ SV817 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4614]) ).

thf(4616,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4607:[bind(SV817,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4617,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4604:[bind(SV817,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4618,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4601:[bind(SV817,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4619,plain,
    ! [SV817: $i > $i > $o] :
      ( ( ( SV817 @ ( sK163_SV818 @ SV817 ) @ ( sK164_SV819 @ SV817 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[4615]) ).

thf(4620,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( SV828
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(rename,[status(thm)],[219]) ).

thf(4639,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( ! [SV829: $i] :
              ( ( SV828 @ SV829 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4620]) ).

thf(4640,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( SV828
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4620]) ).

thf(4641,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( ( SV828 @ ( sK178_SV829 @ SV828 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4639]) ).

thf(4642,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( ! [SV830: $i] :
              ( ( SV828 @ ( sK178_SV829 @ SV828 ) @ SV830 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4641]) ).

thf(4643,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( ( SV828 @ ( sK178_SV829 @ SV828 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4641]) ).

thf(4644,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( ( SV828 @ ( sK178_SV829 @ SV828 ) @ ( sK179_SV830 @ SV828 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4642]) ).

thf(4645,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( ~ ( ( SV828 @ ( sK178_SV829 @ SV828 ) @ ( sK179_SV830 @ SV828 ) )
              | $true )
          | ~ ( ~ ( SV828 @ ( sK178_SV829 @ SV828 ) @ ( sK179_SV830 @ SV828 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4644]) ).

thf(4646,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( ( SV828 @ ( sK178_SV829 @ SV828 ) @ ( sK179_SV830 @ SV828 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4644]) ).

thf(4648,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV828 @ ( sK178_SV829 @ SV828 ) @ ( sK179_SV830 @ SV828 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4645]) ).

thf(4650,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( ~ ( SV828 @ ( sK178_SV829 @ SV828 ) @ ( sK179_SV830 @ SV828 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4648]) ).

thf(4652,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( ~ ( SV828 @ ( sK178_SV829 @ SV828 ) @ ( sK179_SV830 @ SV828 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4650]) ).

thf(4653,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( SV828 @ ( sK178_SV829 @ SV828 ) @ ( sK179_SV830 @ SV828 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4652]) ).

thf(4654,plain,
    ! [SV828: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV828 @ ( sK178_SV829 @ SV828 ) @ ( sK179_SV830 @ SV828 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4653]) ).

thf(4655,plain,
    ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4646:[bind(SV828,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4656,plain,
    ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4643:[bind(SV828,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4657,plain,
    ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4640:[bind(SV828,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4658,plain,
    ! [SV828: $i > $i > $o] :
      ( ( ( SV828 @ ( sK178_SV829 @ SV828 ) @ ( sK179_SV830 @ SV828 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[4654]) ).

thf(4659,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( SV839
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(rename,[status(thm)],[224]) ).

thf(4680,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( ! [SV840: $i] :
              ( ( SV839 @ SV840 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4659]) ).

thf(4681,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( SV839
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4659]) ).

thf(4682,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( ( SV839 @ ( sK197_SV840 @ SV839 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4680]) ).

thf(4683,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( ! [SV841: $i] :
              ( ( SV839 @ ( sK197_SV840 @ SV839 ) @ SV841 )
              = $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4682]) ).

thf(4684,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( ( SV839 @ ( sK197_SV840 @ SV839 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4682]) ).

thf(4685,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( ( SV839 @ ( sK197_SV840 @ SV839 ) @ ( sK198_SV841 @ SV839 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4683]) ).

thf(4686,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( ~ ( ( SV839 @ ( sK197_SV840 @ SV839 ) @ ( sK198_SV841 @ SV839 ) )
              | $true )
          | ~ ( ~ ( SV839 @ ( sK197_SV840 @ SV839 ) @ ( sK198_SV841 @ SV839 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4685]) ).

thf(4687,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( ( SV839 @ ( sK197_SV840 @ SV839 ) @ ( sK198_SV841 @ SV839 ) )
          = $true )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4685]) ).

thf(4689,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV839 @ ( sK197_SV840 @ SV839 ) @ ( sK198_SV841 @ SV839 ) )
              | ~ $true ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4686]) ).

thf(4691,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( ~ ( SV839 @ ( sK197_SV840 @ SV839 ) @ ( sK198_SV841 @ SV839 ) )
          | ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4689]) ).

thf(4693,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( ~ ( SV839 @ ( sK197_SV840 @ SV839 ) @ ( sK198_SV841 @ SV839 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4691]) ).

thf(4694,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( SV839 @ ( sK197_SV840 @ SV839 ) @ ( sK198_SV841 @ SV839 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4693]) ).

thf(4695,plain,
    ! [SV839: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV839 @ ( sK197_SV840 @ SV839 ) @ ( sK198_SV841 @ SV839 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4694]) ).

thf(4696,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4687:[bind(SV839,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4697,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4684:[bind(SV839,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4698,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4681:[bind(SV839,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4699,plain,
    ! [SV839: $i > $i > $o] :
      ( ( ( SV839 @ ( sK197_SV840 @ SV839 ) @ ( sK198_SV841 @ SV839 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[4695]) ).

thf(4700,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( SV850
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(rename,[status(thm)],[229]) ).

thf(4723,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( ! [SV851: $i] :
              ( ( SV850 @ SV851 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4700]) ).

thf(4724,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( SV850
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4700]) ).

thf(4725,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( ( SV850 @ ( sK220_SV851 @ SV850 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4723]) ).

thf(4726,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( ! [SV852: $i] :
              ( ( SV850 @ ( sK220_SV851 @ SV850 ) @ SV852 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4725]) ).

thf(4727,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( ( SV850 @ ( sK220_SV851 @ SV850 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4725]) ).

thf(4728,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( ( SV850 @ ( sK220_SV851 @ SV850 ) @ ( sK221_SV852 @ SV850 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4726]) ).

thf(4729,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( ~ ( ( SV850 @ ( sK220_SV851 @ SV850 ) @ ( sK221_SV852 @ SV850 ) )
              | $true )
          | ~ ( ~ ( SV850 @ ( sK220_SV851 @ SV850 ) @ ( sK221_SV852 @ SV850 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4728]) ).

thf(4730,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( ( SV850 @ ( sK220_SV851 @ SV850 ) @ ( sK221_SV852 @ SV850 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4728]) ).

thf(4732,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV850 @ ( sK220_SV851 @ SV850 ) @ ( sK221_SV852 @ SV850 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4729]) ).

thf(4734,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( ~ ( SV850 @ ( sK220_SV851 @ SV850 ) @ ( sK221_SV852 @ SV850 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4732]) ).

thf(4736,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( ~ ( SV850 @ ( sK220_SV851 @ SV850 ) @ ( sK221_SV852 @ SV850 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4734]) ).

thf(4737,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( SV850 @ ( sK220_SV851 @ SV850 ) @ ( sK221_SV852 @ SV850 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4736]) ).

thf(4738,plain,
    ! [SV850: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV850 @ ( sK220_SV851 @ SV850 ) @ ( sK221_SV852 @ SV850 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4737]) ).

thf(4739,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4730:[bind(SV850,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4740,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4727:[bind(SV850,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4741,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4724:[bind(SV850,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4742,plain,
    ! [SV850: $i > $i > $o] :
      ( ( ( SV850 @ ( sK220_SV851 @ SV850 ) @ ( sK221_SV852 @ SV850 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[4738]) ).

thf(4743,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( SV861
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(rename,[status(thm)],[234]) ).

thf(4768,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( ! [SV862: $i] :
              ( ( SV861 @ SV862 )
              = ( ^ [SX1: $i] : $true ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4743]) ).

thf(4769,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( SV861
          = ( ^ [SX0: $i,SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4743]) ).

thf(4770,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( ( SV861 @ ( sK247_SV862 @ SV861 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4768]) ).

thf(4771,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( ! [SV863: $i] :
              ( ( SV861 @ ( sK247_SV862 @ SV861 ) @ SV863 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4770]) ).

thf(4772,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( ( SV861 @ ( sK247_SV862 @ SV861 ) )
          = ( ^ [SX1: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4770]) ).

thf(4773,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( ( SV861 @ ( sK247_SV862 @ SV861 ) @ ( sK248_SV863 @ SV861 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4771]) ).

thf(4774,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( ~ ( ( SV861 @ ( sK247_SV862 @ SV861 ) @ ( sK248_SV863 @ SV861 ) )
              | $true )
          | ~ ( ~ ( SV861 @ ( sK247_SV862 @ SV861 ) @ ( sK248_SV863 @ SV861 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4773]) ).

thf(4775,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( ( SV861 @ ( sK247_SV862 @ SV861 ) @ ( sK248_SV863 @ SV861 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4773]) ).

thf(4777,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV861 @ ( sK247_SV862 @ SV861 ) @ ( sK248_SV863 @ SV861 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4774]) ).

thf(4779,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( ~ ( SV861 @ ( sK247_SV862 @ SV861 ) @ ( sK248_SV863 @ SV861 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4777]) ).

thf(4781,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( ~ ( SV861 @ ( sK247_SV862 @ SV861 ) @ ( sK248_SV863 @ SV861 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4779]) ).

thf(4782,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( SV861 @ ( sK247_SV862 @ SV861 ) @ ( sK248_SV863 @ SV861 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4781]) ).

thf(4783,plain,
    ! [SV861: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV861 @ ( sK247_SV862 @ SV861 ) @ ( sK248_SV863 @ SV861 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4782]) ).

thf(4784,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4775:[bind(SV861,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4785,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4772:[bind(SV861,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4786,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4769:[bind(SV861,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4787,plain,
    ! [SV861: $i > $i > $o] :
      ( ( ( SV861 @ ( sK247_SV862 @ SV861 ) @ ( sK248_SV863 @ SV861 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[4783]) ).

thf(4788,plain,
    ! [SV872: $i > $i > $o] :
      ( ( ( ( SV872 @ ( sK9_SV9 @ SV872 ) )
          = ( ^ [SX0: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(rename,[status(thm)],[309]) ).

thf(4815,plain,
    ! [SV872: $i > $i > $o] :
      ( ( ( ! [SV873: $i] :
              ( ( SV872 @ ( sK9_SV9 @ SV872 ) @ SV873 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4788]) ).

thf(4816,plain,
    ! [SV872: $i > $i > $o] :
      ( ( ( ( SV872 @ ( sK9_SV9 @ SV872 ) )
          = ( ^ [SX0: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4788]) ).

thf(4817,plain,
    ! [SV872: $i > $i > $o] :
      ( ( ( ( SV872 @ ( sK9_SV9 @ SV872 ) @ ( sK250_SV873 @ SV872 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4815]) ).

thf(4818,plain,
    ! [SV872: $i > $i > $o] :
      ( ( ( ~ ( ( SV872 @ ( sK9_SV9 @ SV872 ) @ ( sK250_SV873 @ SV872 ) )
              | $true )
          | ~ ( ~ ( SV872 @ ( sK9_SV9 @ SV872 ) @ ( sK250_SV873 @ SV872 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4817]) ).

thf(4819,plain,
    ! [SV872: $i > $i > $o] :
      ( ( ( ( SV872 @ ( sK9_SV9 @ SV872 ) @ ( sK250_SV873 @ SV872 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4817]) ).

thf(4821,plain,
    ! [SV872: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV872 @ ( sK9_SV9 @ SV872 ) @ ( sK250_SV873 @ SV872 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4818]) ).

thf(4823,plain,
    ! [SV872: $i > $i > $o] :
      ( ( ( ~ ( SV872 @ ( sK9_SV9 @ SV872 ) @ ( sK250_SV873 @ SV872 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4821]) ).

thf(4825,plain,
    ! [SV872: $i > $i > $o] :
      ( ( ( ~ ( SV872 @ ( sK9_SV9 @ SV872 ) @ ( sK250_SV873 @ SV872 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4823]) ).

thf(4826,plain,
    ! [SV872: $i > $i > $o] :
      ( ( ( SV872 @ ( sK9_SV9 @ SV872 ) @ ( sK250_SV873 @ SV872 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4825]) ).

thf(4827,plain,
    ! [SV872: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV872 @ ( sK9_SV9 @ SV872 ) @ ( sK250_SV873 @ SV872 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4826]) ).

thf(4828,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4819:[bind(SV872,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4829,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4816:[bind(SV872,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4830,plain,
    ! [SV872: $i > $i > $o] :
      ( ( ( SV872 @ ( sK9_SV9 @ SV872 ) @ ( sK250_SV873 @ SV872 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[4827]) ).

thf(4831,plain,
    ! [SV882: $i > $i > $o] :
      ( ( ( ( SV882 @ ( sK10_SV10 @ SV882 ) )
          = ( ^ [SX0: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(rename,[status(thm)],[314]) ).

thf(4860,plain,
    ! [SV882: $i > $i > $o] :
      ( ( ( ! [SV883: $i] :
              ( ( SV882 @ ( sK10_SV10 @ SV882 ) @ SV883 )
              = $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4831]) ).

thf(4861,plain,
    ! [SV882: $i > $i > $o] :
      ( ( ( ( SV882 @ ( sK10_SV10 @ SV882 ) )
          = ( ^ [SX0: $i] : $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4831]) ).

thf(4862,plain,
    ! [SV882: $i > $i > $o] :
      ( ( ( ( SV882 @ ( sK10_SV10 @ SV882 ) @ ( sK254_SV883 @ SV882 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[4860]) ).

thf(4863,plain,
    ! [SV882: $i > $i > $o] :
      ( ( ( ~ ( ( SV882 @ ( sK10_SV10 @ SV882 ) @ ( sK254_SV883 @ SV882 ) )
              | $true )
          | ~ ( ~ ( SV882 @ ( sK10_SV10 @ SV882 ) @ ( sK254_SV883 @ SV882 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4862]) ).

thf(4864,plain,
    ! [SV882: $i > $i > $o] :
      ( ( ( ( SV882 @ ( sK10_SV10 @ SV882 ) @ ( sK254_SV883 @ SV882 ) )
          = $true )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[4862]) ).

thf(4866,plain,
    ! [SV882: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV882 @ ( sK10_SV10 @ SV882 ) @ ( sK254_SV883 @ SV882 ) )
              | ~ $true ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[4863]) ).

thf(4868,plain,
    ! [SV882: $i > $i > $o] :
      ( ( ( ~ ( SV882 @ ( sK10_SV10 @ SV882 ) @ ( sK254_SV883 @ SV882 ) )
          | ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[4866]) ).

thf(4870,plain,
    ! [SV882: $i > $i > $o] :
      ( ( ( ~ ( SV882 @ ( sK10_SV10 @ SV882 ) @ ( sK254_SV883 @ SV882 ) ) )
        = $true )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[4868]) ).

thf(4871,plain,
    ! [SV882: $i > $i > $o] :
      ( ( ( SV882 @ ( sK10_SV10 @ SV882 ) @ ( sK254_SV883 @ SV882 ) )
        = $false )
      | ( ( ~ $true )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4870]) ).

thf(4872,plain,
    ! [SV882: $i > $i > $o] :
      ( ( $true = $false )
      | ( ( SV882 @ ( sK10_SV10 @ SV882 ) @ ( sK254_SV883 @ SV882 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[4871]) ).

thf(4873,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4864:[bind(SV882,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4874,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(extuni,[status(esa)],[4861:[bind(SV882,$thf( ^ [SX0: $i] : ^ [SX1: $i] : $true ))]]) ).

thf(4875,plain,
    ! [SV882: $i > $i > $o] :
      ( ( ( SV882 @ ( sK10_SV10 @ SV882 ) @ ( sK254_SV883 @ SV882 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(sim,[status(thm)],[4872]) ).

thf(4876,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[24,4875,4874,4873,4831,4830,4829,4828,4788,4787,4786,4785,4784,4743,4742,4741,4740,4739,4700,4699,4698,4697,4696,4659,4658,4657,4656,4655,4620,4619,4618,4617,4616,4583,4582,4581,4580,4579,4548,4547,4546,4545,4544,4515,4514,4513,4512,4511,4510,4509,4508,4507,4506,4505,4504,4503,4502,4501,4500,4499,4498,4497,4496,4495,4494,4493,4492,4491,4490,4489,4488,4487,4486,4485,4484,4483,4482,4481,4480,4479,4478,4477,4476,4475,4474,4473,4472,4471,4470,4469,4468,4467,4466,4465,4464,4463,4462,4461,4460,4459,4458,4457,4456,4455,4454,4453,4452,4451,4450,4449,4448,4447,4446,4445,4444,4443,4442,4441,4440,4439,4438,4437,4436,4435,4434,4433,4432,4431,4430,4429,4428,4427,4426,4425,4424,4423,4422,4421,4420,4419,4418,4417,4416,3111,3054,2799,2774,2769,2743,2718,2713,2437,2432,2416,2411,2405,2388,2383,2367,2362,2356,2084,2079,2075,2063,2057,2044,2039,2035,2023,2017,1856,1847,1838,1829,1820,1811,1802,1796,1792,1779,1763,1759,1746,1607,1605,1598,1596,1589,1587,1580,1578,1571,1569,1562,1560,1553,1551,1545,1515,1396,1394,1392,1388,1386,1384,1380,1378,1376,1372,1370,1368,1364,1362,1360,1356,1354,1352,1348,1346,1344,1324,1298,1216,1214,1210,1208,1204,1202,1198,1196,1192,1190,1186,1184,1180,1178,1165,1160,1142,1137,1083,1076,1075,1060,1053,1052,1046,1041,1036,1031,1026,1021,1016,1006,999,983,976,928,921,920,919,903,896,895,894,841,816,759,748,734,723,709,704,699,694,689,684,679,603,581,558,553,548,543,538,533,528,485,482,481,479,476,475,473,470,469,467,464,463,461,458,457,455,452,451,449,446,445,408,402,396,390,384,378,372,339,334,329,324,319,41,36,34,32,31,30,28,27,26]) ).

thf(4877,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[4876]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : CSR132^1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jun 10 20:37:23 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  
% 0.14/0.36   No.of.Axioms: 9
% 0.14/0.36  
% 0.14/0.36   Length.of.Defs: 0
% 0.14/0.36  
% 0.14/0.36   Contains.Choice.Funs: false
% 0.20/0.36  (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:11,loop_count:0,foatp_calls:0,translation:fof_full)..................................................................................................................................
% 3.81/4.11  
% 3.81/4.11  ********************************
% 3.81/4.11  *   All subproblems solved!    *
% 3.81/4.11  ********************************
% 3.81/4.11  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4876,loop_count:20,foatp_calls:2,translation:fof_full)
% 9.92/10.13  
% 9.92/10.13  %**** Beginning of derivation protocol ****
% 9.92/10.13  % SZS output start CNFRefutation
% See solution above
% 9.96/10.14  
% 9.96/10.14  %**** End of derivation protocol ****
% 9.96/10.14  %**** no. of clauses in derivation: 2462 ****
% 9.96/10.14  %**** clause counter: 4876 ****
% 9.96/10.14  
% 9.96/10.14  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4876,loop_count:20,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------